Finding the Fourth Proportional to 7,082.24, 9,774.98 and 5,675.27

Step by Step Solution

1. Step 1: Write the proportion equation
   7,082.24 : 9,774.98 = 5,675.27 : x
2. Step 2: Convert to fraction form
   7,082.24/9,774.98 = 5,675.27/x
3. Step 3: Cross multiply
   7,082.24x = 9,774.98 × 5,675.27
4. Step 4: Simplify right side
   7,082.24x = 55,475,594.78
5. Step 5: Solve for x
   x = 55,475,594.78/7,082.24
6. Step 6: Final answer
   x = 7,833.06