I've gotten into the 3rd room, but I don't see how to open up the 4th room because you can't bring any glyphs into the 2nd from the 3rd, or any from the 3rd into the second.
Well nevermind, you don't need to do that. I got into the 4th room. The order matters of putting them together.
Okay, figured it all out! That was really clever :)