Below is a link to a Toyota Factory Wiring Manual for a 2002 4Runner. Take a look at the wiring schematic for the interior illumination.
First, click here >>>
http://www.ncttora.com/fsm/1996/SIL/fsm/wiring.html
Next, open the link labeled >>> E.W.D. 2001-2005::2002 4RUNNER: Illumination
Now you're looking at the wiring diagram for the interior lighting. Scroll down to page 2, and you'll see the dimmer, labled as "R6 Rheostat", on the right hand side of page 2. Notice that all fo the wires eventually end up going through the dimmer, then to ground.
According to the diagram, the Dimmer shouldh have 3 wires attached to it, the White wire w/Black stripe being the ground wire. If you have a short, it would be on the White wire w/Black stripe.
However, as Big John said, since the radio install was the only thing that changed, and you did it yourself, that's probably where the issue is.
Notice on the wiring diagram, that (as Big John stated), the factory radio is tied in to the dash lighting circuit so that it dims along with the rest of the factory dash lighting.
Pull the radio that you installed, and check your wiring. See if you tapped into any of the factory wiring. Specifically, you'll be checking to see if you tapped into a GREEN wire or a WHITE W/GREEN STRIPE wire. Those are the wires that would have connected the factory radio to the dimmer circuit.
If you have tapped into those wires, that's where your problem should lie.
BTW, take some pictures once you get in there, because it will be hard to help you beyond this without more information/pictures from you.
Also, post some details on your 4Runner... mainly the model year.