Finding the Fourth Proportional to 2,413.86, 3,620.31 and 769.96

Step by Step Solution

1. Step 1: Write the proportion equation
   2,413.86 : 3,620.31 = 769.96 : x
2. Step 2: Convert to fraction form
   2,413.86/3,620.31 = 769.96/x
3. Step 3: Cross multiply
   2,413.86x = 3,620.31 × 769.96
4. Step 4: Simplify right side
   2,413.86x = 2,787,493.89
5. Step 5: Solve for x
   x = 2,787,493.89/2,413.86
6. Step 6: Final answer
   x = 1,154.79