Finding the Fourth Proportional to 9,546.59, 13,173.57 and 5,567.20

Step by Step Solution

1. Step 1: Write the proportion equation
   9,546.59 : 13,173.57 = 5,567.20 : x
2. Step 2: Convert to fraction form
   9,546.59/13,173.57 = 5,567.20/x
3. Step 3: Cross multiply
   9,546.59x = 13,173.57 × 5,567.20
4. Step 4: Simplify right side
   9,546.59x = 73,339,865.97
5. Step 5: Solve for x
   x = 73,339,865.97/9,546.59
6. Step 6: Final answer
   x = 7,682.31