Finding the Fourth Proportional to 9,744.09, 13,443.60 and 5,494.62

Step by Step Solution

1. Step 1: Write the proportion equation
   9,744.09 : 13,443.60 = 5,494.62 : x
2. Step 2: Convert to fraction form
   9,744.09/13,443.60 = 5,494.62/x
3. Step 3: Cross multiply
   9,744.09x = 13,443.60 × 5,494.62
4. Step 4: Simplify right side
   9,744.09x = 73,867,473.43
5. Step 5: Solve for x
   x = 73,867,473.43/9,744.09
6. Step 6: Final answer
   x = 7,580.75