Finding the Fourth Proportional to 6,882.02, 9,496.98 and 3,738.20

Step by Step Solution

1. Step 1: Write the proportion equation
   6,882.02 : 9,496.98 = 3,738.20 : x
2. Step 2: Convert to fraction form
   6,882.02/9,496.98 = 3,738.20/x
3. Step 3: Cross multiply
   6,882.02x = 9,496.98 × 3,738.20
4. Step 4: Simplify right side
   6,882.02x = 35,501,563.15
5. Step 5: Solve for x
   x = 35,501,563.15/6,882.02
6. Step 6: Final answer
   x = 5,158.60