Coming from an automotive background (certified), my money is on the cig/accessory fuse. Let's do a little math, shall we? Let's shall!
I have a 19V 4.74A cigarette lighter adapter to convert 12V for my laptop
Actually, 12.6V is the average "resting" voltage of the common battery, so we'll use that for our equations. First, let's see what that thing is supposed to shove down the pipe:
19V * 4.74A = 90.06W (we'll just use 90W).
In a perfect world, there'll be no loss in converting, so let's see what this thing may be drawing on a good day:
90W / 12.6V = 7.142857143A (we'll call it about 7.2A).
I'll go out on a limb here and say that converter can do 90% efficiency, so let's add about 10% to the current drawn, so we're now at ~7.9A.
Most accessory fuses I've run into are low-load (7.5A {red}), or high-load (15A {blue}). The magic number here is the 7.5A. If the fuse wired to your socket happens to be the 7.5A, it'll blow if the load is high enough. If the fuse is the 15A (mostly protecting the socket and something else), then you'd be just fine, unless the other thing(s) are drawing too much at the same time. This would also explain why it works just fine with other cars, as they may have the higher load fuse, or your adapter wasn't pulling enough current to blow it.
Note:
NEVER throw a larger fuse in there unless you have certified that the wiring can handle the extra current! Some manufacturers will use the same gauge wire for everything, and just pop in whatever fuse value they need for that branch, but some don't. You *may* get by with, say, a 10A for testing, but replace it with the proper value afterwards. The battery/alternator can probably handle the load, but don't count on the wiring to hold up unless verified.
Now, if you check the fuses, and all are okay, then I'd go looking at all the relays. On my late (lamented) Toyota, there was a relay for darn near everything in the car, including the accessory power feeds. This allows the ignition switch to automatically switch off any battery-draining item left on (like a laptop charger plugged into the socket). A bad relay is the first thing to check, sometimes you can just swap it with another to check if the problem moved to another circuit. The next thing to check is the power/ground feeds to the relays. I can't tell you how many times just scraping the corrosion off a ground terminal brought everything back to life - corrosion is a major problem in snowy areas, as they salt the sh!t out of the roads, at least around here they do (which, alas, was the demise of my beloved Toyota...).
nop
Arigato, Aiji-san! Arigato.