Finding the Fourth Proportional to 1,609.38, 2,413.62 and 1,023.54

Step by Step Solution

1. Step 1: Write the proportion equation
   1,609.38 : 2,413.62 = 1,023.54 : x
2. Step 2: Convert to fraction form
   1,609.38/2,413.62 = 1,023.54/x
3. Step 3: Cross multiply
   1,609.38x = 2,413.62 × 1,023.54
4. Step 4: Simplify right side
   1,609.38x = 2,470,436.61
5. Step 5: Solve for x
   x = 2,470,436.61/1,609.38
6. Step 6: Final answer
   x = 1,535.02