Finding the Fourth Proportional to 12,831.83, 17,707.57 and 7,166.42

Step by Step Solution

1. Step 1: Write the proportion equation
   12,831.83 : 17,707.57 = 7,166.42 : x
2. Step 2: Convert to fraction form
   12,831.83/17,707.57 = 7,166.42/x
3. Step 3: Cross multiply
   12,831.83x = 17,707.57 × 7,166.42
4. Step 4: Simplify right side
   12,831.83x = 126,899,883.80
5. Step 5: Solve for x
   x = 126,899,883.80/12,831.83
6. Step 6: Final answer
   x = 9,889.46