Finding the Fourth Proportional to 149,774.94, 206,688.15 and 82,705.50

Step by Step Solution

1. Step 1: Write the proportion equation
   149,774.94 : 206,688.15 = 82,705.50 : x
2. Step 2: Convert to fraction form
   149,774.94/206,688.15 = 82,705.50/x
3. Step 3: Cross multiply
   149,774.94x = 206,688.15 × 82,705.50
4. Step 4: Simplify right side
   149,774.94x = 17,094,246,789.83
5. Step 5: Solve for x
   x = 17,094,246,789.83/149,774.94
6. Step 6: Final answer
   x = 114,132.89