Finding the Fourth Proportional to 12,771.50, 17,625.48 and 7,182.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,771.50 : 17,625.48 = 7,182.50 : x
2. Step 2: Convert to fraction form
   12,771.50/17,625.48 = 7,182.50/x
3. Step 3: Cross multiply
   12,771.50x = 17,625.48 × 7,182.50
4. Step 4: Simplify right side
   12,771.50x = 126,595,010.10
5. Step 5: Solve for x
   x = 126,595,010.10/12,771.50
6. Step 6: Final answer
   x = 9,912.31