Finding the Fourth Proportional to 10,421.38, 14,381.58 and 5,706.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,421.38 : 14,381.58 = 5,706.10 : x
2. Step 2: Convert to fraction form
   10,421.38/14,381.58 = 5,706.10/x
3. Step 3: Cross multiply
   10,421.38x = 14,381.58 × 5,706.10
4. Step 4: Simplify right side
   10,421.38x = 82,062,733.64
5. Step 5: Solve for x
   x = 82,062,733.64/10,421.38
6. Step 6: Final answer
   x = 7,874.46