Finding the Fourth Proportional to 11,931.71, 16,466.22 and 8,162.78

Step by Step Solution

1. Step 1: Write the proportion equation
   11,931.71 : 16,466.22 = 8,162.78 : x
2. Step 2: Convert to fraction form
   11,931.71/16,466.22 = 8,162.78/x
3. Step 3: Cross multiply
   11,931.71x = 16,466.22 × 8,162.78
4. Step 4: Simplify right side
   11,931.71x = 134,410,048.96
5. Step 5: Solve for x
   x = 134,410,048.96/11,931.71
6. Step 6: Final answer
   x = 11,264.95