Finding the Fourth Proportional to 6,338.72, 9,493.57 and 3,868.10

Step by Step Solution

1. Step 1: Write the proportion equation
   6,338.72 : 9,493.57 = 3,868.10 : x
2. Step 2: Convert to fraction form
   6,338.72/9,493.57 = 3,868.10/x
3. Step 3: Cross multiply
   6,338.72x = 9,493.57 × 3,868.10
4. Step 4: Simplify right side
   6,338.72x = 36,722,078.12
5. Step 5: Solve for x
   x = 36,722,078.12/6,338.72
6. Step 6: Final answer
   x = 5,793.30