Finding the Fourth Proportional to 9,401.04, 12,974.04 and 5,209.56

Step by Step Solution

1. Step 1: Write the proportion equation
   9,401.04 : 12,974.04 = 5,209.56 : x
2. Step 2: Convert to fraction form
   9,401.04/12,974.04 = 5,209.56/x
3. Step 3: Cross multiply
   9,401.04x = 12,974.04 × 5,209.56
4. Step 4: Simplify right side
   9,401.04x = 67,589,039.82
5. Step 5: Solve for x
   x = 67,589,039.82/9,401.04
6. Step 6: Final answer
   x = 7,189.53