Finding the Fourth Proportional to 10,416.52, 14,377.82 and 5,942.71

Step by Step Solution

1. Step 1: Write the proportion equation
   10,416.52 : 14,377.82 = 5,942.71 : x
2. Step 2: Convert to fraction form
   10,416.52/14,377.82 = 5,942.71/x
3. Step 3: Cross multiply
   10,416.52x = 14,377.82 × 5,942.71
4. Step 4: Simplify right side
   10,416.52x = 85,443,214.69
5. Step 5: Solve for x
   x = 85,443,214.69/10,416.52
6. Step 6: Final answer
   x = 8,202.66