Finding the Fourth Proportional to 12,078.16, 16,677.32 and 7,831.24

Step by Step Solution

1. Step 1: Write the proportion equation
   12,078.16 : 16,677.32 = 7,831.24 : x
2. Step 2: Convert to fraction form
   12,078.16/16,677.32 = 7,831.24/x
3. Step 3: Cross multiply
   12,078.16x = 16,677.32 × 7,831.24
4. Step 4: Simplify right side
   12,078.16x = 130,604,095.48
5. Step 5: Solve for x
   x = 130,604,095.48/12,078.16
6. Step 6: Final answer
   x = 10,813.24