Finding the Fourth Proportional to 9,728.38, 13,424.38 and 5,748.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,728.38 : 13,424.38 = 5,748.75 : x
2. Step 2: Convert to fraction form
   9,728.38/13,424.38 = 5,748.75/x
3. Step 3: Cross multiply
   9,728.38x = 13,424.38 × 5,748.75
4. Step 4: Simplify right side
   9,728.38x = 77,173,404.53
5. Step 5: Solve for x
   x = 77,173,404.53/9,728.38
6. Step 6: Final answer
   x = 7,932.81