Finding the Fourth Proportional to 10,470.97, 15,691.54 and 5,200.81

Step by Step Solution

1. Step 1: Write the proportion equation
   10,470.97 : 15,691.54 = 5,200.81 : x
2. Step 2: Convert to fraction form
   10,470.97/15,691.54 = 5,200.81/x
3. Step 3: Cross multiply
   10,470.97x = 15,691.54 × 5,200.81
4. Step 4: Simplify right side
   10,470.97x = 81,608,718.15
5. Step 5: Solve for x
   x = 81,608,718.15/10,470.97
6. Step 6: Final answer
   x = 7,793.81