Finding the Fourth Proportional to 9,496.56, 14,208.70 and 5,734.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,496.56 : 14,208.70 = 5,734.50 : x
2. Step 2: Convert to fraction form
   9,496.56/14,208.70 = 5,734.50/x
3. Step 3: Cross multiply
   9,496.56x = 14,208.70 × 5,734.50
4. Step 4: Simplify right side
   9,496.56x = 81,479,790.15
5. Step 5: Solve for x
   x = 81,479,790.15/9,496.56
6. Step 6: Final answer
   x = 8,579.93