Finding the Fourth Proportional to 9,401.50, 12,974.16 and 5,209.84

Step by Step Solution

1. Step 1: Write the proportion equation
   9,401.50 : 12,974.16 = 5,209.84 : x
2. Step 2: Convert to fraction form
   9,401.50/12,974.16 = 5,209.84/x
3. Step 3: Cross multiply
   9,401.50x = 12,974.16 × 5,209.84
4. Step 4: Simplify right side
   9,401.50x = 67,593,297.73
5. Step 5: Solve for x
   x = 67,593,297.73/9,401.50
6. Step 6: Final answer
   x = 7,189.63