You are $24$ years old now, and just graduated from college. You got your first job after graduation, and they will pay you $$59,810$ per year. If you plan to work from age $24$ to $68,$ then retire, and you expect to live until age $100,$ how much should you save for retirement? Assume you$$ll earn $10\%$ in your working years and $4\%$ in retirement, also assume you'll want an income of $$59,810$ per year in retirement.

Do not round intermediate calculations. Round your final answer to $2$ decimals.