Finding the Fourth Proportional to 9,222.57, 12,725.43 and 5,188.23

Step by Step Solution

1. Step 1: Write the proportion equation
   9,222.57 : 12,725.43 = 5,188.23 : x
2. Step 2: Convert to fraction form
   9,222.57/12,725.43 = 5,188.23/x
3. Step 3: Cross multiply
   9,222.57x = 12,725.43 × 5,188.23
4. Step 4: Simplify right side
   9,222.57x = 66,022,457.69
5. Step 5: Solve for x
   x = 66,022,457.69/9,222.57
6. Step 6: Final answer
   x = 7,158.79