A payment stream consisting of $$1831$ due $($but not paid$)11$ months ago, and $$3753$ due in $13$ months is to be replaced with the following equivalent set of payments: an unknown payment due today, and a payment of $$1492$ due in $17$ months. What is the amount of the payment due today if the rate of simple interest is $3\mathrm{.}92\%?$ Give your answer rounded to the nearest cent and use today as the focal date.