Finding the Fourth Proportional to 12,846.15, 17,727.26 and 7,540.83

Step by Step Solution

1. Step 1: Write the proportion equation
   12,846.15 : 17,727.26 = 7,540.83 : x
2. Step 2: Convert to fraction form
   12,846.15/17,727.26 = 7,540.83/x
3. Step 3: Cross multiply
   12,846.15x = 17,727.26 × 7,540.83
4. Step 4: Simplify right side
   12,846.15x = 133,678,216.32
5. Step 5: Solve for x
   x = 133,678,216.32/12,846.15
6. Step 6: Final answer
   x = 10,406.09