Finding the Fourth Proportional to 12,578.25, 17,353.56 and 7,544.10

Step by Step Solution

1. Step 1: Write the proportion equation
   12,578.25 : 17,353.56 = 7,544.10 : x
2. Step 2: Convert to fraction form
   12,578.25/17,353.56 = 7,544.10/x
3. Step 3: Cross multiply
   12,578.25x = 17,353.56 × 7,544.10
4. Step 4: Simplify right side
   12,578.25x = 130,917,020.29
5. Step 5: Solve for x
   x = 130,917,020.29/12,578.25
6. Step 6: Final answer
   x = 10,408.21