At t=0, a retirement account has $578,519. The account earns interest at a nominal rate of 8.8424% compounded 3 times per year. The first payment…

At t=0, a retirement account has $578,519. The account earns interest at a nominal rate of 8.8424% compounded 3 times per year. The first payment will be X and it occurs at the end of each year. Each successive payment will be 1.2% higher than the previous payment. The retirement account will fund payments for 15 years. Determine the balance in the account after the 20th payment has been made.