Finding the Fourth Proportional to 2,413.03, 3,619.72 and 769.74

Step by Step Solution

1. Step 1: Write the proportion equation
   2,413.03 : 3,619.72 = 769.74 : x
2. Step 2: Convert to fraction form
   2,413.03/3,619.72 = 769.74/x
3. Step 3: Cross multiply
   2,413.03x = 3,619.72 × 769.74
4. Step 4: Simplify right side
   2,413.03x = 2,786,243.27
5. Step 5: Solve for x
   x = 2,786,243.27/2,413.03
6. Step 6: Final answer
   x = 1,154.67