You didn't provide the brand/model of your unit so I can't look up parts diagrams on it.

I'm familiar with one case of a family member's Whirlpool. The remainder of the broken stud was pushed through and dropped down into the refrigerator wall. The replacement stud mounted by pushing into the wall and twisting to lock it in place. It cannot be removed once twisted without breaking it off again.

Thanks. I pushed the pin through and it worked:-) I was able to mount another one. The model is RRTW18VABW, Brand: HAIER 18 CF. Hope it helps someone else in resolving their issue. I was thinking this may be the solution; I wanted to validate with someone. I did not want to make matters worse.

This sounds like what I was looking for. As you can see I've glued and taped the brackets/ladders due to the screws being broken off, (see picture below). The one on the left (middle bracket), screw tip is actually rusted in the hole and not sure how to get it out or push it in. This is a 1999 Whirlpool model no: ET18GKXGW0-2. Any suggestions are appreciated! Thanks!