I'm completely new to vector graphics, but I've read the manual, the tutorial, searched the web and the forum without finding an answer to my problem. Maybe it's because the lingo is unfamiliar and I'm not really sure what to search for, but here it goes:
I have three paths, like this

and I want to transform them into one path so I can fill it with color or a gradient, like this

I've tried different things, and "combine" ends up filling the whole thing. Is there any way I can do this, or do I need the reform my thinking? Any help would be very much appreciated.