Finding the Fourth Proportional to 9,568.44, 13,204.96 and 5,589.32

Step by Step Solution

1. Step 1: Write the proportion equation
   9,568.44 : 13,204.96 = 5,589.32 : x
2. Step 2: Convert to fraction form
   9,568.44/13,204.96 = 5,589.32/x
3. Step 3: Cross multiply
   9,568.44x = 13,204.96 × 5,589.32
4. Step 4: Simplify right side
   9,568.44x = 73,806,667.03
5. Step 5: Solve for x
   x = 73,806,667.03/9,568.44
6. Step 6: Final answer
   x = 7,713.55