Finding the Fourth Proportional to 9,038.20, 12,474.03 and 5,209.10

Step by Step Solution

1. Step 1: Write the proportion equation
   9,038.20 : 12,474.03 = 5,209.10 : x
2. Step 2: Convert to fraction form
   9,038.20/12,474.03 = 5,209.10/x
3. Step 3: Cross multiply
   9,038.20x = 12,474.03 × 5,209.10
4. Step 4: Simplify right side
   9,038.20x = 64,978,469.67
5. Step 5: Solve for x
   x = 64,978,469.67/9,038.20
6. Step 6: Final answer
   x = 7,189.32