Finding the Fourth Proportional to 6,881.85, 9,496.98 and 3,738.02

Step by Step Solution

1. Step 1: Write the proportion equation
   6,881.85 : 9,496.98 = 3,738.02 : x
2. Step 2: Convert to fraction form
   6,881.85/9,496.98 = 3,738.02/x
3. Step 3: Cross multiply
   6,881.85x = 9,496.98 × 3,738.02
4. Step 4: Simplify right side
   6,881.85x = 35,499,853.69
5. Step 5: Solve for x
   x = 35,499,853.69/6,881.85
6. Step 6: Final answer
   x = 5,158.48