Finding the Fourth Proportional to 1,024.50, 1,413.81 and 610.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,024.50 : 1,413.81 = 610.50 : x
2. Step 2: Convert to fraction form
   1,024.50/1,413.81 = 610.50/x
3. Step 3: Cross multiply
   1,024.50x = 1,413.81 × 610.50
4. Step 4: Simplify right side
   1,024.50x = 863,131.01
5. Step 5: Solve for x
   x = 863,131.01/1,024.50
6. Step 6: Final answer
   x = 842.49