Kendra's loan has a balance of $$15,039$ on May $19,$ and earns $10\mathrm{.}43\%$ interest. She makes payments of $$4,935$ on June $19$ and $$3,333$ on July $19.$ Use the Actuarial Method to apply the payments to Kendra's loan and determine her new balance. $($Give your answer to the nearest cent.$)$