Finding the Fourth Proportional to 6,424.16, 8,866.82 and 3,772.42

Step by Step Solution

1. Step 1: Write the proportion equation
   6,424.16 : 8,866.82 = 3,772.42 : x
2. Step 2: Convert to fraction form
   6,424.16/8,866.82 = 3,772.42/x
3. Step 3: Cross multiply
   6,424.16x = 8,866.82 × 3,772.42
4. Step 4: Simplify right side
   6,424.16x = 33,449,369.10
5. Step 5: Solve for x
   x = 33,449,369.10/6,424.16
6. Step 6: Final answer
   x = 5,206.81