Finding the Fourth Proportional to 2,413.25, 3,618.76 and 769.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,413.25 : 3,618.76 = 769.42 : x
2. Step 2: Convert to fraction form
   2,413.25/3,618.76 = 769.42/x
3. Step 3: Cross multiply
   2,413.25x = 3,618.76 × 769.42
4. Step 4: Simplify right side
   2,413.25x = 2,784,346.32
5. Step 5: Solve for x
   x = 2,784,346.32/2,413.25
6. Step 6: Final answer
   x = 1,153.77