Finding the Fourth Proportional to 6,114.82, 8,435.22 and 3,872.74

Step by Step Solution

1. Step 1: Write the proportion equation
   6,114.82 : 8,435.22 = 3,872.74 : x
2. Step 2: Convert to fraction form
   6,114.82/8,435.22 = 3,872.74/x
3. Step 3: Cross multiply
   6,114.82x = 8,435.22 × 3,872.74
4. Step 4: Simplify right side
   6,114.82x = 32,667,413.90
5. Step 5: Solve for x
   x = 32,667,413.90/6,114.82
6. Step 6: Final answer
   x = 5,342.33