You can sort of figure out the series resistor value of an LED. A small one like an idiot light draws about 10 milliamps (you can measure it), the LED has ~ 3 Volts across it so you need to drop 9 Volts.
9 / 0.01 = 900 Ohms, that would be the minimum in reality it could be much higher like 1-10 K Ohms, you really need to read the specs to figure it out.
Back to the topic
When you put the "controle light" in the socket, does it light at all? If not its shorting the socket out and all four flashers are getting power, this happened to me also, as a temporary fix I snipped one side off the wire contacts.
If the lamps on one side are working correctly but the other side are flashing dimly its because the current the "controle light" draws is enough to make them work, then you need to change the wiring a little as per my sketch No 3, The back to back diodes prevent the signal from going to the opposite side.
Any small diodes will do they only carry a few milliamps the other side of the "controle light" goes to chassis.
I found the old file under the topic Main Switch Fuse Blows
Sorry about the poor resolution, I took a picture of the screen because it was messed up by photo bucket.