Finding the Fourth Proportional to 10,421.43, 14,382.54 and 5,706.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,421.43 : 14,382.54 = 5,706.42 : x
2. Step 2: Convert to fraction form
   10,421.43/14,382.54 = 5,706.42/x
3. Step 3: Cross multiply
   10,421.43x = 14,382.54 × 5,706.42
4. Step 4: Simplify right side
   10,421.43x = 82,072,813.91
5. Step 5: Solve for x
   x = 82,072,813.91/10,421.43
6. Step 6: Final answer
   x = 7,875.39