They remain 4 across in the spot after I save them, but after logging out and viewing the site, they are rearranged.
Sometimes the answer is as simple as just turning off the WYSIWYG editor, and getting used to using the tags and attributes that make things look the way you really want them too. You can still upload the images to the "code" box, and WordPress will gladly comply.
Often simply adding an align="right", or align="left" to your images can really make a significant difference in the appearance of your post. A simple space between images can also make an improvement if posted in line. You may also be limited to the actual size of your post area. You can't physically force four in-line 75px images into a space that is only 275px wide. (I know that's a poor example, but it's just to overstate the obvious). There are also alignment "classes" that can be pre-built into a particular theme using the Style Sheet. The author of the theme will usually disclose this information in his/her description of the theme (sometimes). :-)
A couple of inexpensive beginners books on basic (X)HTML as well as css, or Cascading Style Sheets, will really be an asset to you. Once you start to do a little reading, things will begin to click.
I have to say that I personally find the site very visually appealing. It looks like it would be fun to work on.(I hope I have the right URI)!
Best of luck to you.
P.S. Give yourself some time to start connecting a few dots. WordPress is pretty easy to get a handle on. Like everything, there are compromises, you just have keep learning and trying until you find what works for you.