Finding the Fourth Proportional to 9,544.64, 13,170.16 and 5,456.15

Step by Step Solution

1. Step 1: Write the proportion equation
   9,544.64 : 13,170.16 = 5,456.15 : x
2. Step 2: Convert to fraction form
   9,544.64/13,170.16 = 5,456.15/x
3. Step 3: Cross multiply
   9,544.64x = 13,170.16 × 5,456.15
4. Step 4: Simplify right side
   9,544.64x = 71,858,368.48
5. Step 5: Solve for x
   x = 71,858,368.48/9,544.64
6. Step 6: Final answer
   x = 7,528.66