Finding the Fourth Proportional to 2,413.15, 3,620.23 and 769.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,413.15 : 3,620.23 = 769.82 : x
2. Step 2: Convert to fraction form
   2,413.15/3,620.23 = 769.82/x
3. Step 3: Cross multiply
   2,413.15x = 3,620.23 × 769.82
4. Step 4: Simplify right side
   2,413.15x = 2,786,905.43
5. Step 5: Solve for x
   x = 2,786,905.43/2,413.15
6. Step 6: Final answer
   x = 1,154.88