Finding the Fourth Proportional to 6,881.31, 9,496.02 and 3,897.42

Step by Step Solution

1. Step 1: Write the proportion equation
   6,881.31 : 9,496.02 = 3,897.42 : x
2. Step 2: Convert to fraction form
   6,881.31/9,496.02 = 3,897.42/x
3. Step 3: Cross multiply
   6,881.31x = 9,496.02 × 3,897.42
4. Step 4: Simplify right side
   6,881.31x = 37,009,958.78
5. Step 5: Solve for x
   x = 37,009,958.78/6,881.31
6. Step 6: Final answer
   x = 5,378.33