If it stays at #4, your problem probably lies elsewhere, probably carb tuning.
I have swapped the plug wires before, and I did them again and the problem does stay with #4. I thought it may have something to do with the fuel intake, meaning I have my float set wrong allowing to much fuel in. Because I have actually had this problem before, but on the #2 cylinder. Once I changed all of the float heights it worked just fine.
I have a temporary set up with a spare tank that has fuel hoses that are actually a little to long, and when the bike is on the kickstand, it will sometimes actually have trouble getting fuel to the number 4 carb. And since, in theory, the gas simply runs out of the tank via gravity, it may be have some difficulties getting to that number 4 carb, which, again in theory, may be allowing it to receive inconsistent levels of fuels. When I take the spark plug out after seeing that the header isn't getting hot, and see that the plug is wet, which I assume equals to much fuel. When I replace it with another plug, the header will heat up, and collectively all for headers are running at a temperature of 370 degrees. Now I don't know if that is to hot/ to cold, but I'm just happy to get it all the same. Of course that seems to always be short lived, because the plug will again foul out.
I am going to try to reduce the travel of the fuel lines to allow for faster/consistent delivery of the fuel, and see if it helps things. I know I am in need of a sync again, since I have been messing with the carbs so much, but the last time I had it done, the mechanic said that they were already close to perfect that he didn't do much to them. So my bench sync and everything else seems to be fairly accurate. The sync is just hard for me to get done, because I don't have the money to buy one, nor do I have the money to have it done.
Was it doing this before you swapped the coils?
I haven't actually swapped coils yet. I just won them on ebay so it'll be a while before I get them home. I just always assumed that the coils were the culprit, but like you said it really isn't if the problem doesn't follow the plug wire.
It's weird how everything is just a trickling/snowball effect. If one thing is off, it sets the course for a numerous amount of things to be off.