Finding the Fourth Proportional to 12,569.17, 18,864.69 and 8,191.54

Step by Step Solution

1. Step 1: Write the proportion equation
   12,569.17 : 18,864.69 = 8,191.54 : x
2. Step 2: Convert to fraction form
   12,569.17/18,864.69 = 8,191.54/x
3. Step 3: Cross multiply
   12,569.17x = 18,864.69 × 8,191.54
4. Step 4: Simplify right side
   12,569.17x = 154,530,862.72
5. Step 5: Solve for x
   x = 154,530,862.72/12,569.17
6. Step 6: Final answer
   x = 12,294.44