Finding the Fourth Proportional to 6,978.24, 10,469.52 and 3,082.32

Step by Step Solution

1. Step 1: Write the proportion equation
   6,978.24 : 10,469.52 = 3,082.32 : x
2. Step 2: Convert to fraction form
   6,978.24/10,469.52 = 3,082.32/x
3. Step 3: Cross multiply
   6,978.24x = 10,469.52 × 3,082.32
4. Step 4: Simplify right side
   6,978.24x = 32,270,410.89
5. Step 5: Solve for x
   x = 32,270,410.89/6,978.24
6. Step 6: Final answer
   x = 4,624.43