In light, there are different color spaces. Each color space is a dimensional space such that combining colors along the "dimension" will result in a mixed color.
RGB, means that you get to mix various values of Red, Green, and Blue. Amber is already a mixture, so to "add Amber" to RGB, you have to decide how to adjust the Red, Green, and Blue values such that they seem a bit more Amber.
Amber is #FFBF00 or (RGB: 255, 191, 0), so the first step would be to figure out how much of "Amber" a RGB value is. For example, (RGB: 128, 80, 0) is 50% Amber and 0% everything else.
Once you can figure out the Amber percentage, you can "pull out the Amber" leaving the rest of the non-amber color in RGB. Then you can have a RGBAmber color space.
Keep in mind that you can't over-drive RGB, so if you add (RGBAmber: 50%, 20%, 0%, 100%) it will be converted to RGB(100%, ...) which won't let the red scale up as much as the other colors, making the amber things seem a bit off.
In reality, this will properly approximate the construction of the fourth amber dimension; but, it won't be correct. The truth is that you cannot fully construct the fourth dimension from the other three because the Red Green and Blue physically mix differently than the Amber channel produces. For example, it is fully valid to drive RGBAmber at 100% across all channels, but RGB could never do that, as to drive amber at 100% you would effectively zero out all of your red channel.