My b2evolution Version: 1.10.x
I have setup on localhost. When I view the site on the local host, the skins are applied. However, when I view from another computer, no css styles are being applied. I have tried with different skins/different blogs. I haven't changed any config files or directory structures. despite header this is for 2.x
http://hamby.homeip.net/blog
It's because your $baseurl is pointing to localhost, and skin selection (among other bits) is dependent on $baseurl. For example NONE of the links on the page you linked to actually work.
I have no idea how people host a b2evolution blog from their home computer, but I think it's been done and documented somewhere. Maybe in the forums, but maybe in the manual (Docs) linked above?