Finding the Fourth Proportional to 10,422.16, 14,382.12 and 5,706.64

Step by Step Solution

1. Step 1: Write the proportion equation
   10,422.16 : 14,382.12 = 5,706.64 : x
2. Step 2: Convert to fraction form
   10,422.16/14,382.12 = 5,706.64/x
3. Step 3: Cross multiply
   10,422.16x = 14,382.12 × 5,706.64
4. Step 4: Simplify right side
   10,422.16x = 82,073,581.28
5. Step 5: Solve for x
   x = 82,073,581.28/10,422.16
6. Step 6: Final answer
   x = 7,874.91