First thing I'd do is call the school you were accepted to and explain the situation.
Yes, you really should have realized there were prereqs you should have enrolled in for summer, but on the other hand, how did you know you were going to be accepted at the very tail end of May? (If you can make this sound good, that's the way I'd present it over the phone... If it just comes out sounding ignorant / unprepared, scrap it.)
Tell them that you are very excited for the opportunity to attend their school, but you had intended upon taking the final prereqs you needed in Fall semester and now won't have that opportunity. Ask them if you can take the classes online to fulfill the requirements due to late notice. Emphasize that you are honored that they chose you - don't linger on the late notice thing.
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What are these prereqs you need? If they're "major" classes, such as Chemistry, Biology, etc., I would be prepared for the school to require you to finish before entering. If it's just english or economics - something more "gen ed" - and you really can't find a class for Summer II (which starts in July here in AZ) - ask them if you can take it concurrently with Fall semester.
If they won't work with you, ask them if you can delay your acceptance for the following year.
Fight for it! Don't take no for an answer!
(P.S. - if you're looking for online classes, Rio Salado community college has a good number of them, starting every couple weeks...
www.riosalado.edu. Even if it says you will have to come to the testing center, you could contact the instructor and explain that you're out of state and see what kind of arrangements you can make.)
