Finding the Fourth Proportional to 6,846.78, 9,448.88 and 3,862.55

Step by Step Solution

1. Step 1: Write the proportion equation
   6,846.78 : 9,448.88 = 3,862.55 : x
2. Step 2: Convert to fraction form
   6,846.78/9,448.88 = 3,862.55/x
3. Step 3: Cross multiply
   6,846.78x = 9,448.88 × 3,862.55
4. Step 4: Simplify right side
   6,846.78x = 36,496,704.89
5. Step 5: Solve for x
   x = 36,496,704.89/6,846.78
6. Step 6: Final answer
   x = 5,330.49