Finding the Fourth Proportional to 9,964.64, 13,751.82 and 5,489.37

Step by Step Solution

1. Step 1: Write the proportion equation
   9,964.64 : 13,751.82 = 5,489.37 : x
2. Step 2: Convert to fraction form
   9,964.64/13,751.82 = 5,489.37/x
3. Step 3: Cross multiply
   9,964.64x = 13,751.82 × 5,489.37
4. Step 4: Simplify right side
   9,964.64x = 75,488,828.15
5. Step 5: Solve for x
   x = 75,488,828.15/9,964.64
6. Step 6: Final answer
   x = 7,575.67