Finding the Fourth Proportional to 10,422.02, 14,382.24 and 5,706.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,422.02 : 14,382.24 = 5,706.20 : x
2. Step 2: Convert to fraction form
   10,422.02/14,382.24 = 5,706.20/x
3. Step 3: Cross multiply
   10,422.02x = 14,382.24 × 5,706.20
4. Step 4: Simplify right side
   10,422.02x = 82,067,937.89
5. Step 5: Solve for x
   x = 82,067,937.89/10,422.02
6. Step 6: Final answer
   x = 7,874.48