Finding the Fourth Proportional to 13,002.14, 17,945.07 and 9,667.10

Step by Step Solution

1. Step 1: Write the proportion equation
   13,002.14 : 17,945.07 = 9,667.10 : x
2. Step 2: Convert to fraction form
   13,002.14/17,945.07 = 9,667.10/x
3. Step 3: Cross multiply
   13,002.14x = 17,945.07 × 9,667.10
4. Step 4: Simplify right side
   13,002.14x = 173,476,786.20
5. Step 5: Solve for x
   x = 173,476,786.20/13,002.14
6. Step 6: Final answer
   x = 13,342.17