Finding the Fourth Proportional to 6,535.16, 9,019.82 and 3,882.05

Step by Step Solution

1. Step 1: Write the proportion equation
   6,535.16 : 9,019.82 = 3,882.05 : x
2. Step 2: Convert to fraction form
   6,535.16/9,019.82 = 3,882.05/x
3. Step 3: Cross multiply
   6,535.16x = 9,019.82 × 3,882.05
4. Step 4: Simplify right side
   6,535.16x = 35,015,327.72
5. Step 5: Solve for x
   x = 35,015,327.72/6,535.16
6. Step 6: Final answer
   x = 5,357.99