Finding the Fourth Proportional to 81,800.16, 122,642.78 and 31,838.12

Step by Step Solution

1. Step 1: Write the proportion equation
   81,800.16 : 122,642.78 = 31,838.12 : x
2. Step 2: Convert to fraction form
   81,800.16/122,642.78 = 31,838.12/x
3. Step 3: Cross multiply
   81,800.16x = 122,642.78 × 31,838.12
4. Step 4: Simplify right side
   81,800.16x = 3,904,715,546.77
5. Step 5: Solve for x
   x = 3,904,715,546.77/81,800.16
6. Step 6: Final answer
   x = 47,734.82