Finding the Fourth Proportional to 100,826.17, 150,823.72 and 82,854.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,826.17 : 150,823.72 = 82,854.50 : x
2. Step 2: Convert to fraction form
   100,826.17/150,823.72 = 82,854.50/x
3. Step 3: Cross multiply
   100,826.17x = 150,823.72 × 82,854.50
4. Step 4: Simplify right side
   100,826.17x = 12,496,423,258.19
5. Step 5: Solve for x
   x = 12,496,423,258.19/100,826.17
6. Step 6: Final answer
   x = 123,940.28