Finding the Fourth Proportional to 7,759.57, 10,689.39 and 5,766.67

Step by Step Solution

1. Step 1: Write the proportion equation
   7,759.57 : 10,689.39 = 5,766.67 : x
2. Step 2: Convert to fraction form
   7,759.57/10,689.39 = 5,766.67/x
3. Step 3: Cross multiply
   7,759.57x = 10,689.39 × 5,766.67
4. Step 4: Simplify right side
   7,759.57x = 61,642,184.63
5. Step 5: Solve for x
   x = 61,642,184.63/7,759.57
6. Step 6: Final answer
   x = 7,944.02