Finding the Fourth Proportional to 13,826.16, 19,081.46 and 8,162.78

Step by Step Solution

1. Step 1: Write the proportion equation
   13,826.16 : 19,081.46 = 8,162.78 : x
2. Step 2: Convert to fraction form
   13,826.16/19,081.46 = 8,162.78/x
3. Step 3: Cross multiply
   13,826.16x = 19,081.46 × 8,162.78
4. Step 4: Simplify right side
   13,826.16x = 155,757,760.06
5. Step 5: Solve for x
   x = 155,757,760.06/13,826.16
6. Step 6: Final answer
   x = 11,265.44