Finding the Fourth Proportional to 12,769.50, 17,621.92 and 7,180.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,769.50 : 17,621.92 = 7,180.50 : x
2. Step 2: Convert to fraction form
   12,769.50/17,621.92 = 7,180.50/x
3. Step 3: Cross multiply
   12,769.50x = 17,621.92 × 7,180.50
4. Step 4: Simplify right side
   12,769.50x = 126,534,196.56
5. Step 5: Solve for x
   x = 126,534,196.56/12,769.50
6. Step 6: Final answer
   x = 9,909.10