Finding the Fourth Proportional to 2,565.28, 3,538.72 and 1,571.04

Step by Step Solution

1. Step 1: Write the proportion equation
   2,565.28 : 3,538.72 = 1,571.04 : x
2. Step 2: Convert to fraction form
   2,565.28/3,538.72 = 1,571.04/x
3. Step 3: Cross multiply
   2,565.28x = 3,538.72 × 1,571.04
4. Step 4: Simplify right side
   2,565.28x = 5,559,470.67
5. Step 5: Solve for x
   x = 5,559,470.67/2,565.28
6. Step 6: Final answer
   x = 2,167.20