Finding the Fourth Proportional to 2,413.74, 3,620.55 and 770.40

Step by Step Solution

1. Step 1: Write the proportion equation
   2,413.74 : 3,620.55 = 770.40 : x
2. Step 2: Convert to fraction form
   2,413.74/3,620.55 = 770.40/x
3. Step 3: Cross multiply
   2,413.74x = 3,620.55 × 770.40
4. Step 4: Simplify right side
   2,413.74x = 2,789,271.72
5. Step 5: Solve for x
   x = 2,789,271.72/2,413.74
6. Step 6: Final answer
   x = 1,155.58