Add Custom Class To Last Post In A Loop WordPress:

<?php
functionlast_post_class($classes){
global $wp_query;
if(($wp_query->current_post+1) == $wp_query->post_count) $classes[] = 'Your Class Name';
return $classes;
}
add_filter('post_class', 'last_post_class');
?>
After this you display your class name in your last Post.