Darius and Kayla (a mathematician) want to save for their granddaughter's college fund. They will deposit 10 equal yearly payments to an account earning an annual rate of 5.9%, which compounds annually. Four years after the last deposit, they plan to withdraw $46,200 once a year for five years to pay for their granddaughter's education expenses while she is in college. How much do their 10 yearly payments need to be to meet this goal?