Finding the Fourth Proportional to 7,082.61, 9,775.42 and 5,401.02

Step by Step Solution

1. Step 1: Write the proportion equation
   7,082.61 : 9,775.42 = 5,401.02 : x
2. Step 2: Convert to fraction form
   7,082.61/9,775.42 = 5,401.02/x
3. Step 3: Cross multiply
   7,082.61x = 9,775.42 × 5,401.02
4. Step 4: Simplify right side
   7,082.61x = 52,797,225.43
5. Step 5: Solve for x
   x = 52,797,225.43/7,082.61
6. Step 6: Final answer
   x = 7,454.49