Your father is $50$ years old and will retire in $10$ years. He expects to live for $25$ years after he retires, until he is $85.$ He wants a fixed retirement income that has the same purchasing power at the time he retires as $$55,000$ has today. $($The real value of his retirement income will decline annually after he retires.$)$ His retirement income will begin the day he retires, $10$ years from today, at which time he will receive $24$ additional annual payments. Annual inflation is expected to be $5\%.$ He currently has $$185,000$ saved, and he expects to earn $10\%$ annually on his savings. How much must he save during each of the next $10$ years $($end$-$of$-$year deposits$)$ to meet his retirement goal? Do not round intermediate calculations. Round your answer to the nearest dollar.