Finding the Fourth Proportional to 1,608.36, 2,413.48 and 684.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,608.36 : 2,413.48 = 684.10 : x
2. Step 2: Convert to fraction form
   1,608.36/2,413.48 = 684.10/x
3. Step 3: Cross multiply
   1,608.36x = 2,413.48 × 684.10
4. Step 4: Simplify right side
   1,608.36x = 1,651,061.67
5. Step 5: Solve for x
   x = 1,651,061.67/1,608.36
6. Step 6: Final answer
   x = 1,026.55