Finding the Fourth Proportional to 10,402.14, 14,354.88 and 5,926.08

Step by Step Solution

1. Step 1: Write the proportion equation
   10,402.14 : 14,354.88 = 5,926.08 : x
2. Step 2: Convert to fraction form
   10,402.14/14,354.88 = 5,926.08/x
3. Step 3: Cross multiply
   10,402.14x = 14,354.88 × 5,926.08
4. Step 4: Simplify right side
   10,402.14x = 85,068,167.27
5. Step 5: Solve for x
   x = 85,068,167.27/10,402.14
6. Step 6: Final answer
   x = 8,177.95