Finding the Fourth Proportional to 1,665.97, 2,500.49 and 1,565.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,665.97 : 2,500.49 = 1,565.50 : x
2. Step 2: Convert to fraction form
   1,665.97/2,500.49 = 1,565.50/x
3. Step 3: Cross multiply
   1,665.97x = 2,500.49 × 1,565.50
4. Step 4: Simplify right side
   1,665.97x = 3,914,517.10
5. Step 5: Solve for x
   x = 3,914,517.10/1,665.97
6. Step 6: Final answer
   x = 2,349.69