Finding the Fourth Proportional to 9,965.38, 13,756.89 and 5,772.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,965.38 : 13,756.89 = 5,772.82 : x
2. Step 2: Convert to fraction form
   9,965.38/13,756.89 = 5,772.82/x
3. Step 3: Cross multiply
   9,965.38x = 13,756.89 × 5,772.82
4. Step 4: Simplify right side
   9,965.38x = 79,416,049.73
5. Step 5: Solve for x
   x = 79,416,049.73/9,965.38
6. Step 6: Final answer
   x = 7,969.19