Finding the Fourth Proportional to 10,470.47, 15,690.79 and 5,200.31

Step by Step Solution

1. Step 1: Write the proportion equation
   10,470.47 : 15,690.79 = 5,200.31 : x
2. Step 2: Convert to fraction form
   10,470.47/15,690.79 = 5,200.31/x
3. Step 3: Cross multiply
   10,470.47x = 15,690.79 × 5,200.31
4. Step 4: Simplify right side
   10,470.47x = 81,596,959.12
5. Step 5: Solve for x
   x = 81,596,959.12/10,470.47
6. Step 6: Final answer
   x = 7,793.06