Finding the Fourth Proportional to 9,959.38, 13,748.61 and 5,766.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,959.38 : 13,748.61 = 5,766.82 : x
2. Step 2: Convert to fraction form
   9,959.38/13,748.61 = 5,766.82/x
3. Step 3: Cross multiply
   9,959.38x = 13,748.61 × 5,766.82
4. Step 4: Simplify right side
   9,959.38x = 79,285,759.12
5. Step 5: Solve for x
   x = 79,285,759.12/9,959.38
6. Step 6: Final answer
   x = 7,960.91