Finding the Fourth Proportional to 9,026.50, 12,456.57 and 5,489.05

Step by Step Solution

1. Step 1: Write the proportion equation
   9,026.50 : 12,456.57 = 5,489.05 : x
2. Step 2: Convert to fraction form
   9,026.50/12,456.57 = 5,489.05/x
3. Step 3: Cross multiply
   9,026.50x = 12,456.57 × 5,489.05
4. Step 4: Simplify right side
   9,026.50x = 68,374,735.56
5. Step 5: Solve for x
   x = 68,374,735.56/9,026.50
6. Step 6: Final answer
   x = 7,574.89