Finding the Fourth Proportional to 6,849.20, 9,443.33 and 5,716.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,849.20 : 9,443.33 = 5,716.50 : x
2. Step 2: Convert to fraction form
   6,849.20/9,443.33 = 5,716.50/x
3. Step 3: Cross multiply
   6,849.20x = 9,443.33 × 5,716.50
4. Step 4: Simplify right side
   6,849.20x = 53,982,795.95
5. Step 5: Solve for x
   x = 53,982,795.95/6,849.20
6. Step 6: Final answer
   x = 7,881.62