The annual interest rate on a credit card is 25.74% and interest is calculated by the average daily balance method. The unpaid balance at the start of a 30-day billing cycle was $1,672.18. A purchase of $265.12 was made on day 8 and a payment of $250 was credited to the account on day 20. Find the unpaid balance at the end of the billing cycle. (Use a 360-day year.)