Finding the Fourth Proportional to 9,571.56, 13,205.88 and 5,589.96

Step by Step Solution

1. Step 1: Write the proportion equation
   9,571.56 : 13,205.88 = 5,589.96 : x
2. Step 2: Convert to fraction form
   9,571.56/13,205.88 = 5,589.96/x
3. Step 3: Cross multiply
   9,571.56x = 13,205.88 × 5,589.96
4. Step 4: Simplify right side
   9,571.56x = 73,820,340.96
5. Step 5: Solve for x
   x = 73,820,340.96/9,571.56
6. Step 6: Final answer
   x = 7,712.47