Finding the Fourth Proportional to 12,874.71, 17,759.34 and 7,565.16

Step by Step Solution

1. Step 1: Write the proportion equation
   12,874.71 : 17,759.34 = 7,565.16 : x
2. Step 2: Convert to fraction form
   12,874.71/17,759.34 = 7,565.16/x
3. Step 3: Cross multiply
   12,874.71x = 17,759.34 × 7,565.16
4. Step 4: Simplify right side
   12,874.71x = 134,352,248.59
5. Step 5: Solve for x
   x = 134,352,248.59/12,874.71
6. Step 6: Final answer
   x = 10,435.36