Finding the Fourth Proportional to 81,906.88, 122,854.32 and 31,977.52

Step by Step Solution

1. Step 1: Write the proportion equation
   81,906.88 : 122,854.32 = 31,977.52 : x
2. Step 2: Convert to fraction form
   81,906.88/122,854.32 = 31,977.52/x
3. Step 3: Cross multiply
   81,906.88x = 122,854.32 × 31,977.52
4. Step 4: Simplify right side
   81,906.88x = 3,928,576,474.89
5. Step 5: Solve for x
   x = 3,928,576,474.89/81,906.88
6. Step 6: Final answer
   x = 47,963.94