Finding the Fourth Proportional to 71,831.86, 107,784.69 and 31,878.22

Step by Step Solution

1. Step 1: Write the proportion equation
   71,831.86 : 107,784.69 = 31,878.22 : x
2. Step 2: Convert to fraction form
   71,831.86/107,784.69 = 31,878.22/x
3. Step 3: Cross multiply
   71,831.86x = 107,784.69 × 31,878.22
4. Step 4: Simplify right side
   71,831.86x = 3,435,984,060.45
5. Step 5: Solve for x
   x = 3,435,984,060.45/71,831.86
6. Step 6: Final answer
   x = 47,833.71