Finding the Fourth Proportional to 9,401.64, 12,974.34 and 5,209.96

Step by Step Solution

1. Step 1: Write the proportion equation
   9,401.64 : 12,974.34 = 5,209.96 : x
2. Step 2: Convert to fraction form
   9,401.64/12,974.34 = 5,209.96/x
3. Step 3: Cross multiply
   9,401.64x = 12,974.34 × 5,209.96
4. Step 4: Simplify right side
   9,401.64x = 67,595,792.43
5. Step 5: Solve for x
   x = 67,595,792.43/9,401.64
6. Step 6: Final answer
   x = 7,189.79