Finding the Fourth Proportional to 9,401.15, 12,973.56 and 5,209.40

Step by Step Solution

1. Step 1: Write the proportion equation
   9,401.15 : 12,973.56 = 5,209.40 : x
2. Step 2: Convert to fraction form
   9,401.15/12,973.56 = 5,209.40/x
3. Step 3: Cross multiply
   9,401.15x = 12,973.56 × 5,209.40
4. Step 4: Simplify right side
   9,401.15x = 67,584,463.46
5. Step 5: Solve for x
   x = 67,584,463.46/9,401.15
6. Step 6: Final answer
   x = 7,188.96