Finding the Fourth Proportional to 149,896.50, 206,872.30 and 82,828.50

Step by Step Solution

1. Step 1: Write the proportion equation
   149,896.50 : 206,872.30 = 82,828.50 : x
2. Step 2: Convert to fraction form
   149,896.50/206,872.30 = 82,828.50/x
3. Step 3: Cross multiply
   149,896.50x = 206,872.30 × 82,828.50
4. Step 4: Simplify right side
   149,896.50x = 17,134,922,300.55
5. Step 5: Solve for x
   x = 17,134,922,300.55/149,896.50
6. Step 6: Final answer
   x = 114,311.69