Finding the Fourth Proportional to 9,826.56, 13,579.20 and 7,747.20

Step by Step Solution

1. Step 1: Write the proportion equation
   9,826.56 : 13,579.20 = 7,747.20 : x
2. Step 2: Convert to fraction form
   9,826.56/13,579.20 = 7,747.20/x
3. Step 3: Cross multiply
   9,826.56x = 13,579.20 × 7,747.20
4. Step 4: Simplify right side
   9,826.56x = 105,200,778.24
5. Step 5: Solve for x
   x = 105,200,778.24/9,826.56
6. Step 6: Final answer
   x = 10,705.76