Finding the Fourth Proportional to 13,744, 18,966.72 and 7,456.38

Step by Step Solution

1. Step 1: Write the proportion equation
   13,744 : 18,966.72 = 7,456.38 : x
2. Step 2: Convert to fraction form
   13,744/18,966.72 = 7,456.38/x
3. Step 3: Cross multiply
   13,744x = 18,966.72 × 7,456.38
4. Step 4: Simplify right side
   13,744x = 141,423,071.67
5. Step 5: Solve for x
   x = 141,423,071.67/13,744
6. Step 6: Final answer
   x = 10,289.80