Finding the Fourth Proportional to 12,807.90, 17,674.55 and 7,142.82

Step by Step Solution

1. Step 1: Write the proportion equation
   12,807.90 : 17,674.55 = 7,142.82 : x
2. Step 2: Convert to fraction form
   12,807.90/17,674.55 = 7,142.82/x
3. Step 3: Cross multiply
   12,807.90x = 17,674.55 × 7,142.82
4. Step 4: Simplify right side
   12,807.90x = 126,246,093.52
5. Step 5: Solve for x
   x = 126,246,093.52/12,807.90
6. Step 6: Final answer
   x = 9,856.89