Finding the Fourth Proportional to 149,834, 206,770.92 and 82,766

Step by Step Solution

1. Step 1: Write the proportion equation
   149,834 : 206,770.92 = 82,766 : x
2. Step 2: Convert to fraction form
   149,834/206,770.92 = 82,766/x
3. Step 3: Cross multiply
   149,834x = 206,770.92 × 82,766
4. Step 4: Simplify right side
   149,834x = 17,113,601,964.72
5. Step 5: Solve for x
   x = 17,113,601,964.72/149,834
6. Step 6: Final answer
   x = 114,217.08