Finding the Fourth Proportional to 149,895.50, 206,870.92 and 82,827.50

Step by Step Solution

1. Step 1: Write the proportion equation
   149,895.50 : 206,870.92 = 82,827.50 : x
2. Step 2: Convert to fraction form
   149,895.50/206,870.92 = 82,827.50/x
3. Step 3: Cross multiply
   149,895.50x = 206,870.92 × 82,827.50
4. Step 4: Simplify right side
   149,895.50x = 17,134,601,126.30
5. Step 5: Solve for x
   x = 17,134,601,126.30/149,895.50
6. Step 6: Final answer
   x = 114,310.31