Finding the Fourth Proportional to 1,608.10, 2,413.31 and 684.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,608.10 : 2,413.31 = 684.31 : x
2. Step 2: Convert to fraction form
   1,608.10/2,413.31 = 684.31/x
3. Step 3: Cross multiply
   1,608.10x = 2,413.31 × 684.31
4. Step 4: Simplify right side
   1,608.10x = 1,651,453.76
5. Step 5: Solve for x
   x = 1,651,453.76/1,608.10
6. Step 6: Final answer
   x = 1,026.96