Finding the Fourth Proportional to 9,401.54, 12,974.16 and 5,209.79

Step by Step Solution

1. Step 1: Write the proportion equation
   9,401.54 : 12,974.16 = 5,209.79 : x
2. Step 2: Convert to fraction form
   9,401.54/12,974.16 = 5,209.79/x
3. Step 3: Cross multiply
   9,401.54x = 12,974.16 × 5,209.79
4. Step 4: Simplify right side
   9,401.54x = 67,592,584.16
5. Step 5: Solve for x
   x = 67,592,584.16/9,401.54
6. Step 6: Final answer
   x = 7,189.53