Finding the Fourth Proportional to 6,093.98, 8,413.59 and 4,977.60

Step by Step Solution

1. Step 1: Write the proportion equation
   6,093.98 : 8,413.59 = 4,977.60 : x
2. Step 2: Convert to fraction form
   6,093.98/8,413.59 = 4,977.60/x
3. Step 3: Cross multiply
   6,093.98x = 8,413.59 × 4,977.60
4. Step 4: Simplify right side
   6,093.98x = 41,879,485.58
5. Step 5: Solve for x
   x = 41,879,485.58/6,093.98
6. Step 6: Final answer
   x = 6,872.28