Finding the Fourth Proportional to 1,227.57, 1,842.09 and 458.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,227.57 : 1,842.09 = 458.61 : x
2. Step 2: Convert to fraction form
   1,227.57/1,842.09 = 458.61/x
3. Step 3: Cross multiply
   1,227.57x = 1,842.09 × 458.61
4. Step 4: Simplify right side
   1,227.57x = 844,800.89
5. Step 5: Solve for x
   x = 844,800.89/1,227.57
6. Step 6: Final answer
   x = 688.19