Finding the Fourth Proportional to 1,413.69, 2,120.82 and 682.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.69 : 2,120.82 = 682.86 : x
2. Step 2: Convert to fraction form
   1,413.69/2,120.82 = 682.86/x
3. Step 3: Cross multiply
   1,413.69x = 2,120.82 × 682.86
4. Step 4: Simplify right side
   1,413.69x = 1,448,223.15
5. Step 5: Solve for x
   x = 1,448,223.15/1,413.69
6. Step 6: Final answer
   x = 1,024.43