Finding the Fourth Proportional to 5,413.60, 8,132.55 and 5,267.80

Step by Step Solution

1. Step 1: Write the proportion equation
   5,413.60 : 8,132.55 = 5,267.80 : x
2. Step 2: Convert to fraction form
   5,413.60/8,132.55 = 5,267.80/x
3. Step 3: Cross multiply
   5,413.60x = 8,132.55 × 5,267.80
4. Step 4: Simplify right side
   5,413.60x = 42,840,646.89
5. Step 5: Solve for x
   x = 42,840,646.89/5,413.60
6. Step 6: Final answer
   x = 7,913.52