Finding the Fourth Proportional to 10,478.43, 15,727.98 and 7,697.29

Step by Step Solution

1. Step 1: Write the proportion equation
   10,478.43 : 15,727.98 = 7,697.29 : x
2. Step 2: Convert to fraction form
   10,478.43/15,727.98 = 7,697.29/x
3. Step 3: Cross multiply
   10,478.43x = 15,727.98 × 7,697.29
4. Step 4: Simplify right side
   10,478.43x = 121,062,823.17
5. Step 5: Solve for x
   x = 121,062,823.17/10,478.43
6. Step 6: Final answer
   x = 11,553.53