Finding the Fourth Proportional to 1,026.47, 1,540.22 and 410.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,026.47 : 1,540.22 = 410.61 : x
2. Step 2: Convert to fraction form
   1,026.47/1,540.22 = 410.61/x
3. Step 3: Cross multiply
   1,026.47x = 1,540.22 × 410.61
4. Step 4: Simplify right side
   1,026.47x = 632,429.73
5. Step 5: Solve for x
   x = 632,429.73/1,026.47
6. Step 6: Final answer
   x = 616.12