Finding the Fourth Proportional to 9,401.76, 12,974.85 and 5,209.74

Step by Step Solution

1. Step 1: Write the proportion equation
   9,401.76 : 12,974.85 = 5,209.74 : x
2. Step 2: Convert to fraction form
   9,401.76/12,974.85 = 5,209.74/x
3. Step 3: Cross multiply
   9,401.76x = 12,974.85 × 5,209.74
4. Step 4: Simplify right side
   9,401.76x = 67,595,595.04
5. Step 5: Solve for x
   x = 67,595,595.04/9,401.76
6. Step 6: Final answer
   x = 7,189.67