Finding the Fourth Proportional to 10,966.86, 15,134.23 and 5,931.09

Step by Step Solution

1. Step 1: Write the proportion equation
   10,966.86 : 15,134.23 = 5,931.09 : x
2. Step 2: Convert to fraction form
   10,966.86/15,134.23 = 5,931.09/x
3. Step 3: Cross multiply
   10,966.86x = 15,134.23 × 5,931.09
4. Step 4: Simplify right side
   10,966.86x = 89,762,465.38
5. Step 5: Solve for x
   x = 89,762,465.38/10,966.86
6. Step 6: Final answer
   x = 8,184.88