Finding the Fourth Proportional to 9,401.07, 12,974.00 and 5,209.23

Step by Step Solution

1. Step 1: Write the proportion equation
   9,401.07 : 12,974.00 = 5,209.23 : x
2. Step 2: Convert to fraction form
   9,401.07/12,974.00 = 5,209.23/x
3. Step 3: Cross multiply
   9,401.07x = 12,974.00 × 5,209.23
4. Step 4: Simplify right side
   9,401.07x = 67,584,523.97
5. Step 5: Solve for x
   x = 67,584,523.97/9,401.07
6. Step 6: Final answer
   x = 7,189.02