Finding the Fourth Proportional to 3,826.22, 5,740.94 and 2,092.82

Step by Step Solution

1. Step 1: Write the proportion equation
   3,826.22 : 5,740.94 = 2,092.82 : x
2. Step 2: Convert to fraction form
   3,826.22/5,740.94 = 2,092.82/x
3. Step 3: Cross multiply
   3,826.22x = 5,740.94 × 2,092.82
4. Step 4: Simplify right side
   3,826.22x = 12,014,730.58
5. Step 5: Solve for x
   x = 12,014,730.58/3,826.22
6. Step 6: Final answer
   x = 3,140.11