Finding the Fourth Proportional to 9,738.92, 13,438.37 and 5,489.31

Step by Step Solution

1. Step 1: Write the proportion equation
   9,738.92 : 13,438.37 = 5,489.31 : x
2. Step 2: Convert to fraction form
   9,738.92/13,438.37 = 5,489.31/x
3. Step 3: Cross multiply
   9,738.92x = 13,438.37 × 5,489.31
4. Step 4: Simplify right side
   9,738.92x = 73,767,378.82
5. Step 5: Solve for x
   x = 73,767,378.82/9,738.92
6. Step 6: Final answer
   x = 7,574.49