Finding the Fourth Proportional to 1,609.50, 2,413.22 and 684.29

Step by Step Solution

1. Step 1: Write the proportion equation
   1,609.50 : 2,413.22 = 684.29 : x
2. Step 2: Convert to fraction form
   1,609.50/2,413.22 = 684.29/x
3. Step 3: Cross multiply
   1,609.50x = 2,413.22 × 684.29
4. Step 4: Simplify right side
   1,609.50x = 1,651,345.15
5. Step 5: Solve for x
   x = 1,651,345.15/1,609.50
6. Step 6: Final answer
   x = 1,026.00