Finding the Fourth Proportional to 9,544.05, 13,170.78 and 5,564.40

Step by Step Solution

1. Step 1: Write the proportion equation
   9,544.05 : 13,170.78 = 5,564.40 : x
2. Step 2: Convert to fraction form
   9,544.05/13,170.78 = 5,564.40/x
3. Step 3: Cross multiply
   9,544.05x = 13,170.78 × 5,564.40
4. Step 4: Simplify right side
   9,544.05x = 73,287,488.23
5. Step 5: Solve for x
   x = 73,287,488.23/9,544.05
6. Step 6: Final answer
   x = 7,678.87