Finding the Fourth Proportional to 9,401.68, 12,974.22 and 5,209.90

Step by Step Solution

1. Step 1: Write the proportion equation
   9,401.68 : 12,974.22 = 5,209.90 : x
2. Step 2: Convert to fraction form
   9,401.68/12,974.22 = 5,209.90/x
3. Step 3: Cross multiply
   9,401.68x = 12,974.22 × 5,209.90
4. Step 4: Simplify right side
   9,401.68x = 67,594,388.78
5. Step 5: Solve for x
   x = 67,594,388.78/9,401.68
6. Step 6: Final answer
   x = 7,189.61