Samantha will need to purchase a new washer in 10 years time. The washer costs 350 today, but the price inflates 4% per year.

To finance the purchase, Samantha deposits 29 into an account at the beginning of the year for 6 years. She deposits an additional X at the begining of years 4, 5 and 6 to meet her goal. The effective annual interest rate is 10%. Calculate X.