Finding the Fourth Proportional to 9,401.06, 12,974.38 and 5,209.31

Step by Step Solution

1. Step 1: Write the proportion equation
   9,401.06 : 12,974.38 = 5,209.31 : x
2. Step 2: Convert to fraction form
   9,401.06/12,974.38 = 5,209.31/x
3. Step 3: Cross multiply
   9,401.06x = 12,974.38 × 5,209.31
4. Step 4: Simplify right side
   9,401.06x = 67,587,586.89
5. Step 5: Solve for x
   x = 67,587,586.89/9,401.06
6. Step 6: Final answer
   x = 7,189.36