Finding the Fourth Proportional to 22,584, 31,165.92 and 12,648

Step by Step Solution

1. Step 1: Write the proportion equation
   22,584 : 31,165.92 = 12,648 : x
2. Step 2: Convert to fraction form
   22,584/31,165.92 = 12,648/x
3. Step 3: Cross multiply
   22,584x = 31,165.92 × 12,648
4. Step 4: Simplify right side
   22,584x = 394,186,556.16
5. Step 5: Solve for x
   x = 394,186,556.16/22,584
6. Step 6: Final answer
   x = 17,454.24