Bowie is trying to determine the amount to set aside so that he will have enough money on hand in 6 years to overhaul the engine on his vintage used car. While there is some uncertainty about the cost of engine overhauls in 6 years, by conducting some research online, Newman has developed the following estimates.

Engine Overhaul Estimated Cash flow	probability assessment
$380	10%
450	30%
810	50%
800	10%

How much should Bowie deposit today in an account earning 6%, compounded annually, so that he will have enough money on hand in 6 years to pay for the overhaul? (Round factor values to 5 decimal places, e.g. 1.25124 and final answer to 0 decimal places, e.g. 458,581.)