Finding the Fourth Proportional to 13,826.10, 19,081.38 and 8,162.71

Step by Step Solution

1. Step 1: Write the proportion equation
   13,826.10 : 19,081.38 = 8,162.71 : x
2. Step 2: Convert to fraction form
   13,826.10/19,081.38 = 8,162.71/x
3. Step 3: Cross multiply
   13,826.10x = 19,081.38 × 8,162.71
4. Step 4: Simplify right side
   13,826.10x = 155,755,771.34
5. Step 5: Solve for x
   x = 155,755,771.34/13,826.10
6. Step 6: Final answer
   x = 11,265.34