Finding the Fourth Proportional to 149,733.05, 206,632.55 and 82,665.05

Step by Step Solution

1. Step 1: Write the proportion equation
   149,733.05 : 206,632.55 = 82,665.05 : x
2. Step 2: Convert to fraction form
   149,733.05/206,632.55 = 82,665.05/x
3. Step 3: Cross multiply
   149,733.05x = 206,632.55 × 82,665.05
4. Step 4: Simplify right side
   149,733.05x = 17,081,289,250.88
5. Step 5: Solve for x
   x = 17,081,289,250.88/149,733.05
6. Step 6: Final answer
   x = 114,078.29