Finding the Fourth Proportional to 6,536.24, 9,019.56 and 3,882.56

Step by Step Solution

1. Step 1: Write the proportion equation
   6,536.24 : 9,019.56 = 3,882.56 : x
2. Step 2: Convert to fraction form
   6,536.24/9,019.56 = 3,882.56/x
3. Step 3: Cross multiply
   6,536.24x = 9,019.56 × 3,882.56
4. Step 4: Simplify right side
   6,536.24x = 35,018,982.87
5. Step 5: Solve for x
   x = 35,018,982.87/6,536.24
6. Step 6: Final answer
   x = 5,357.66