Finding the Fourth Proportional to 9,546.66, 13,173.30 and 5,564.97

Step by Step Solution

1. Step 1: Write the proportion equation
   9,546.66 : 13,173.30 = 5,564.97 : x
2. Step 2: Convert to fraction form
   9,546.66/13,173.30 = 5,564.97/x
3. Step 3: Cross multiply
   9,546.66x = 13,173.30 × 5,564.97
4. Step 4: Simplify right side
   9,546.66x = 73,309,019.30
5. Step 5: Solve for x
   x = 73,309,019.30/9,546.66
6. Step 6: Final answer
   x = 7,679.02