Finding the Fourth Proportional to 1,024.17, 1,413.15 and 581.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,024.17 : 1,413.15 = 581.96 : x
2. Step 2: Convert to fraction form
   1,024.17/1,413.15 = 581.96/x
3. Step 3: Cross multiply
   1,024.17x = 1,413.15 × 581.96
4. Step 4: Simplify right side
   1,024.17x = 822,389.71
5. Step 5: Solve for x
   x = 822,389.71/1,024.17
6. Step 6: Final answer
   x = 802.98