Finding the Fourth Proportional to 6,827.78, 9,413.88 and 4,465.82

Step by Step Solution

1. Step 1: Write the proportion equation
   6,827.78 : 9,413.88 = 4,465.82 : x
2. Step 2: Convert to fraction form
   6,827.78/9,413.88 = 4,465.82/x
3. Step 3: Cross multiply
   6,827.78x = 9,413.88 × 4,465.82
4. Step 4: Simplify right side
   6,827.78x = 42,040,693.58
5. Step 5: Solve for x
   x = 42,040,693.58/6,827.78
6. Step 6: Final answer
   x = 6,157.30