Finding the Fourth Proportional to 9,744.64, 13,444.32 and 5,549.92

Step by Step Solution

1. Step 1: Write the proportion equation
   9,744.64 : 13,444.32 = 5,549.92 : x
2. Step 2: Convert to fraction form
   9,744.64/13,444.32 = 5,549.92/x
3. Step 3: Cross multiply
   9,744.64x = 13,444.32 × 5,549.92
4. Step 4: Simplify right side
   9,744.64x = 74,614,900.45
5. Step 5: Solve for x
   x = 74,614,900.45/9,744.64
6. Step 6: Final answer
   x = 7,657.02