Finding the Fourth Proportional to 12,802.56, 17,667.48 and 7,137.24

Step by Step Solution

1. Step 1: Write the proportion equation
   12,802.56 : 17,667.48 = 7,137.24 : x
2. Step 2: Convert to fraction form
   12,802.56/17,667.48 = 7,137.24/x
3. Step 3: Cross multiply
   12,802.56x = 17,667.48 × 7,137.24
4. Step 4: Simplify right side
   12,802.56x = 126,097,044.96
5. Step 5: Solve for x
   x = 126,097,044.96/12,802.56
6. Step 6: Final answer
   x = 9,849.36