Finding the Fourth Proportional to 2,413.40, 3,620.37 and 769.55

Step by Step Solution

1. Step 1: Write the proportion equation
   2,413.40 : 3,620.37 = 769.55 : x
2. Step 2: Convert to fraction form
   2,413.40/3,620.37 = 769.55/x
3. Step 3: Cross multiply
   2,413.40x = 3,620.37 × 769.55
4. Step 4: Simplify right side
   2,413.40x = 2,786,055.73
5. Step 5: Solve for x
   x = 2,786,055.73/2,413.40
6. Step 6: Final answer
   x = 1,154.41