PHP version and latest opencart instalation

Hi, I 'm using aabaco as my website hosting service. The latest php version they have and wont change is PHP 5.3.6. Does anyone know what is the latest open cart installation that would support that php version.

Find a different host. PHP 5.3 was released in June 2009 and stopped being supported in August 2014:

https://en.wikipedia.org/wiki/PHP

While certain OpenCart versions may work fine on PHP 5.3, I'd be more concerned about a host that refuses to stay current with security standards. If your host is not going to update their server software, you're basically asking for trouble.