Finding the Fourth Proportional to 10,421.97, 14,382.14 and 5,706.15

Step by Step Solution

1. Step 1: Write the proportion equation
   10,421.97 : 14,382.14 = 5,706.15 : x
2. Step 2: Convert to fraction form
   10,421.97/14,382.14 = 5,706.15/x
3. Step 3: Cross multiply
   10,421.97x = 14,382.14 × 5,706.15
4. Step 4: Simplify right side
   10,421.97x = 82,066,648.16
5. Step 5: Solve for x
   x = 82,066,648.16/10,421.97
6. Step 6: Final answer
   x = 7,874.39