Finding the Fourth Proportional to 12,578.38, 17,354.37 and 7,540.76

Step by Step Solution

1. Step 1: Write the proportion equation
   12,578.38 : 17,354.37 = 7,540.76 : x
2. Step 2: Convert to fraction form
   12,578.38/17,354.37 = 7,540.76/x
3. Step 3: Cross multiply
   12,578.38x = 17,354.37 × 7,540.76
4. Step 4: Simplify right side
   12,578.38x = 130,865,139.12
5. Step 5: Solve for x
   x = 130,865,139.12/12,578.38
6. Step 6: Final answer
   x = 10,403.97