Finding the Fourth Proportional to 12,806.56, 17,674.22 and 7,772.06

Step by Step Solution

1. Step 1: Write the proportion equation
   12,806.56 : 17,674.22 = 7,772.06 : x
2. Step 2: Convert to fraction form
   12,806.56/17,674.22 = 7,772.06/x
3. Step 3: Cross multiply
   12,806.56x = 17,674.22 × 7,772.06
4. Step 4: Simplify right side
   12,806.56x = 137,365,098.29
5. Step 5: Solve for x
   x = 137,365,098.29/12,806.56
6. Step 6: Final answer
   x = 10,726.15