Finding the Fourth Proportional to 1,609.33, 2,413.78 and 684.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,609.33 : 2,413.78 = 684.71 : x
2. Step 2: Convert to fraction form
   1,609.33/2,413.78 = 684.71/x
3. Step 3: Cross multiply
   1,609.33x = 2,413.78 × 684.71
4. Step 4: Simplify right side
   1,609.33x = 1,652,739.30
5. Step 5: Solve for x
   x = 1,652,739.30/1,609.33
6. Step 6: Final answer
   x = 1,026.97