Finding the Fourth Proportional to 9,965.65, 13,752.69 and 5,489.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,965.65 : 13,752.69 = 5,489.42 : x
2. Step 2: Convert to fraction form
   9,965.65/13,752.69 = 5,489.42/x
3. Step 3: Cross multiply
   9,965.65x = 13,752.69 × 5,489.42
4. Step 4: Simplify right side
   9,965.65x = 75,494,291.54
5. Step 5: Solve for x
   x = 75,494,291.54/9,965.65
6. Step 6: Final answer
   x = 7,575.45