Your uncle opens an account and deposits $$5,569$ on his $60$th birthday. He deposits this same amount annually on each birthday, with the last deposit on his $78$th birthday $($no further deposits are made$).$ If the account earns $6\%$ per year, what will the balance be on his $90$th birthday? $($Note this is a two step problem!$).$ Round and express your answer accurate to the nearest penny $($i$.$e$.,$ two decimal places$)--$ do not include a dollar sign.