Finding the Fourth Proportional to 1,565.71, 2,158.15 and 1,061.40

Step by Step Solution

1. Step 1: Write the proportion equation
   1,565.71 : 2,158.15 = 1,061.40 : x
2. Step 2: Convert to fraction form
   1,565.71/2,158.15 = 1,061.40/x
3. Step 3: Cross multiply
   1,565.71x = 2,158.15 × 1,061.40
4. Step 4: Simplify right side
   1,565.71x = 2,290,660.41
5. Step 5: Solve for x
   x = 2,290,660.41/1,565.71
6. Step 6: Final answer
   x = 1,463.02