Finding the Fourth Proportional to 13,509.10, 18,642.52 and 7,540.72

Step by Step Solution

1. Step 1: Write the proportion equation
   13,509.10 : 18,642.52 = 7,540.72 : x
2. Step 2: Convert to fraction form
   13,509.10/18,642.52 = 7,540.72/x
3. Step 3: Cross multiply
   13,509.10x = 18,642.52 × 7,540.72
4. Step 4: Simplify right side
   13,509.10x = 140,578,023.41
5. Step 5: Solve for x
   x = 140,578,023.41/13,509.10
6. Step 6: Final answer
   x = 10,406.17