Finding the Fourth Proportional to 105,761.82, 145,974.78 and 82,746.24

Step by Step Solution

1. Step 1: Write the proportion equation
   105,761.82 : 145,974.78 = 82,746.24 : x
2. Step 2: Convert to fraction form
   105,761.82/145,974.78 = 82,746.24/x
3. Step 3: Cross multiply
   105,761.82x = 145,974.78 × 82,746.24
4. Step 4: Simplify right side
   105,761.82x = 12,078,864,179.83
5. Step 5: Solve for x
   x = 12,078,864,179.83/105,761.82
6. Step 6: Final answer
   x = 114,208.17