On the Vita, this is an annoying trophy. On the ps3, you hold R1 to swing and release R1 to release the swing. On the Vita, you hold the "circle" button to swing and hit the "cross X" button to release the swing. On the collapsing grapple bridge, the fourth pillar you jump to swings you around and launches you to a platform. If you release the "circle" button you lose momentum quickly, and even if you hit the "cross" button fast, you won't have enough momentum to reach the platform...you will always fall short. You have to hold the "circle" button with one finger and hit the "cross" button with a second finger. That is the only way to have enough momentum to cross the distance and reach the platform.
There is one video on YouTube with a guy showing you how it is done, KnackerJack08