Finding the Fourth Proportional to 1,024.61, 1,413.90 and 625.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,024.61 : 1,413.90 = 625.82 : x
2. Step 2: Convert to fraction form
   1,024.61/1,413.90 = 625.82/x
3. Step 3: Cross multiply
   1,024.61x = 1,413.90 × 625.82
4. Step 4: Simplify right side
   1,024.61x = 884,839.83
5. Step 5: Solve for x
   x = 884,839.83/1,024.61
6. Step 6: Final answer
   x = 863.59