Finding the Fourth Proportional to 1,608.38, 2,413.71 and 684.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,608.38 : 2,413.71 = 684.20 : x
2. Step 2: Convert to fraction form
   1,608.38/2,413.71 = 684.20/x
3. Step 3: Cross multiply
   1,608.38x = 2,413.71 × 684.20
4. Step 4: Simplify right side
   1,608.38x = 1,651,448.31
5. Step 5: Solve for x
   x = 1,651,448.31/1,608.38
6. Step 6: Final answer
   x = 1,026.78