Bootstrap 2.3 has utility classes text-left, text-right and text-center, but they do not work in table cells.Until bootstrap 3.0 is released (where they have fixed the issue) and I am able to make the switch, I have added this to my site CSS that is loaded after bootstrap.css: AFAIK bootstrap doesn't have a special class for it.j Query UI and Bootstrap wouldn´t exist if wasn´t because of 'non-semantic' classes.
In your case, by your question it looks like you wish to have certain text align on the right in your table, but not all of it.
Semantically, it would be better to do something like (I'm just going to make up a few classes here, except for the default bootstrap class, .table): as a class, is that if you want to refactor your tables you will have to redo the markup and the styles.
Left aligned text on viewports sized SM (small) or wider.
Left aligned text on viewports sized XL (extra-large) or wider.
If you use semantic classes you might be able to get away with refactoring only the css.