Finding the Fourth Proportional to 10,942.86, 16,399.17 and 9,478.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,942.86 : 16,399.17 = 9,478.38 : x
2. Step 2: Convert to fraction form
   10,942.86/16,399.17 = 9,478.38/x
3. Step 3: Cross multiply
   10,942.86x = 16,399.17 × 9,478.38
4. Step 4: Simplify right side
   10,942.86x = 155,437,564.94
5. Step 5: Solve for x
   x = 155,437,564.94/10,942.86
6. Step 6: Final answer
   x = 14,204.47