Finding the Fourth Proportional to 12,974.09, 17,896.78 and 8,192.33

Step by Step Solution

1. Step 1: Write the proportion equation
   12,974.09 : 17,896.78 = 8,192.33 : x
2. Step 2: Convert to fraction form
   12,974.09/17,896.78 = 8,192.33/x
3. Step 3: Cross multiply
   12,974.09x = 17,896.78 × 8,192.33
4. Step 4: Simplify right side
   12,974.09x = 146,616,262.47
5. Step 5: Solve for x
   x = 146,616,262.47/12,974.09
6. Step 6: Final answer
   x = 11,300.70