Finding the Fourth Proportional to 6,981.31, 9,633.94 and 3,997.42

Step by Step Solution

1. Step 1: Write the proportion equation
   6,981.31 : 9,633.94 = 3,997.42 : x
2. Step 2: Convert to fraction form
   6,981.31/9,633.94 = 3,997.42/x
3. Step 3: Cross multiply
   6,981.31x = 9,633.94 × 3,997.42
4. Step 4: Simplify right side
   6,981.31x = 38,510,884.45
5. Step 5: Solve for x
   x = 38,510,884.45/6,981.31
6. Step 6: Final answer
   x = 5,516.29