Finding the Fourth Proportional to 13,002.14, 17,942.53 and 8,224.69

Step by Step Solution

1. Step 1: Write the proportion equation
   13,002.14 : 17,942.53 = 8,224.69 : x
2. Step 2: Convert to fraction form
   13,002.14/17,942.53 = 8,224.69/x
3. Step 3: Cross multiply
   13,002.14x = 17,942.53 × 8,224.69
4. Step 4: Simplify right side
   13,002.14x = 147,571,747.07
5. Step 5: Solve for x
   x = 147,571,747.07/13,002.14
6. Step 6: Final answer
   x = 11,349.80