Finding the Fourth Proportional to 2,413.09, 3,617.87 and 768.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,413.09 : 3,617.87 = 768.69 : x
2. Step 2: Convert to fraction form
   2,413.09/3,617.87 = 768.69/x
3. Step 3: Cross multiply
   2,413.09x = 3,617.87 × 768.69
4. Step 4: Simplify right side
   2,413.09x = 2,781,016.65
5. Step 5: Solve for x
   x = 2,781,016.65/2,413.09
6. Step 6: Final answer
   x = 1,152.47