Finding the Fourth Proportional to 331,892.50, 458,046.21 and 204,564.82

Step by Step Solution

1. Step 1: Write the proportion equation
   331,892.50 : 458,046.21 = 204,564.82 : x
2. Step 2: Convert to fraction form
   331,892.50/458,046.21 = 204,564.82/x
3. Step 3: Cross multiply
   331,892.50x = 458,046.21 × 204,564.82
4. Step 4: Simplify right side
   331,892.50x = 93,700,140,500.33
5. Step 5: Solve for x
   x = 93,700,140,500.33/331,892.50
6. Step 6: Final answer
   x = 282,320.75