Finding the Fourth Proportional to 9,401.64, 12,974.24 and 5,209.92

Step by Step Solution

1. Step 1: Write the proportion equation
   9,401.64 : 12,974.24 = 5,209.92 : x
2. Step 2: Convert to fraction form
   9,401.64/12,974.24 = 5,209.92/x
3. Step 3: Cross multiply
   9,401.64x = 12,974.24 × 5,209.92
4. Step 4: Simplify right side
   9,401.64x = 67,594,752.46
5. Step 5: Solve for x
   x = 67,594,752.46/9,401.64
6. Step 6: Final answer
   x = 7,189.68