Finding the Fourth Proportional to 9,401.32, 12,974.34 and 5,209.48

Step by Step Solution

1. Step 1: Write the proportion equation
   9,401.32 : 12,974.34 = 5,209.48 : x
2. Step 2: Convert to fraction form
   9,401.32/12,974.34 = 5,209.48/x
3. Step 3: Cross multiply
   9,401.32x = 12,974.34 × 5,209.48
4. Step 4: Simplify right side
   9,401.32x = 67,589,564.74
5. Step 5: Solve for x
   x = 67,589,564.74/9,401.32
6. Step 6: Final answer
   x = 7,189.37