Finding the Fourth Proportional to 12,846.72, 17,727.12 and 7,543.20

Step by Step Solution

1. Step 1: Write the proportion equation
   12,846.72 : 17,727.12 = 7,543.20 : x
2. Step 2: Convert to fraction form
   12,846.72/17,727.12 = 7,543.20/x
3. Step 3: Cross multiply
   12,846.72x = 17,727.12 × 7,543.20
4. Step 4: Simplify right side
   12,846.72x = 133,719,211.58
5. Step 5: Solve for x
   x = 133,719,211.58/12,846.72
6. Step 6: Final answer
   x = 10,408.82