Finding the Fourth Proportional to 9,667.84, 14,514 and 8,044.24

Step by Step Solution

1. Step 1: Write the proportion equation
   9,667.84 : 14,514 = 8,044.24 : x
2. Step 2: Convert to fraction form
   9,667.84/14,514 = 8,044.24/x
3. Step 3: Cross multiply
   9,667.84x = 14,514 × 8,044.24
4. Step 4: Simplify right side
   9,667.84x = 116,754,099.36
5. Step 5: Solve for x
   x = 116,754,099.36/9,667.84
6. Step 6: Final answer
   x = 12,076.54