Finding the Fourth Proportional to 9,401.30, 12,974.06 and 5,209.55

Step by Step Solution

1. Step 1: Write the proportion equation
   9,401.30 : 12,974.06 = 5,209.55 : x
2. Step 2: Convert to fraction form
   9,401.30/12,974.06 = 5,209.55/x
3. Step 3: Cross multiply
   9,401.30x = 12,974.06 × 5,209.55
4. Step 4: Simplify right side
   9,401.30x = 67,588,988.23
5. Step 5: Solve for x
   x = 67,588,988.23/9,401.30
6. Step 6: Final answer
   x = 7,189.32