Finding the Fourth Proportional to 12,806.16, 17,674.92 and 8,026.80

Step by Step Solution

1. Step 1: Write the proportion equation
   12,806.16 : 17,674.92 = 8,026.80 : x
2. Step 2: Convert to fraction form
   12,806.16/17,674.92 = 8,026.80/x
3. Step 3: Cross multiply
   12,806.16x = 17,674.92 × 8,026.80
4. Step 4: Simplify right side
   12,806.16x = 141,873,047.86
5. Step 5: Solve for x
   x = 141,873,047.86/12,806.16
6. Step 6: Final answer
   x = 11,078.50