Finding the Fourth Proportional to 12,771.75, 17,625.83 and 7,182.75

Step by Step Solution

1. Step 1: Write the proportion equation
   12,771.75 : 17,625.83 = 7,182.75 : x
2. Step 2: Convert to fraction form
   12,771.75/17,625.83 = 7,182.75/x
3. Step 3: Cross multiply
   12,771.75x = 17,625.83 × 7,182.75
4. Step 4: Simplify right side
   12,771.75x = 126,601,894.52
5. Step 5: Solve for x
   x = 126,601,894.52/12,771.75
6. Step 6: Final answer
   x = 9,912.65