Finding the Fourth Proportional to 6,522.72, 9,806.76 and 5,233.20

Step by Step Solution

1. Step 1: Write the proportion equation
   6,522.72 : 9,806.76 = 5,233.20 : x
2. Step 2: Convert to fraction form
   6,522.72/9,806.76 = 5,233.20/x
3. Step 3: Cross multiply
   6,522.72x = 9,806.76 × 5,233.20
4. Step 4: Simplify right side
   6,522.72x = 51,320,736.43
5. Step 5: Solve for x
   x = 51,320,736.43/6,522.72
6. Step 6: Final answer
   x = 7,868.00