Finding the Fourth Proportional to 10,402.13, 14,354.88 and 5,926.07

Step by Step Solution

1. Step 1: Write the proportion equation
   10,402.13 : 14,354.88 = 5,926.07 : x
2. Step 2: Convert to fraction form
   10,402.13/14,354.88 = 5,926.07/x
3. Step 3: Cross multiply
   10,402.13x = 14,354.88 × 5,926.07
4. Step 4: Simplify right side
   10,402.13x = 85,068,023.72
5. Step 5: Solve for x
   x = 85,068,023.72/10,402.13
6. Step 6: Final answer
   x = 8,177.94