Finding the Fourth Proportional to 3,826.96, 5,735.58 and 2,096.80

Step by Step Solution

1. Step 1: Write the proportion equation
   3,826.96 : 5,735.58 = 2,096.80 : x
2. Step 2: Convert to fraction form
   3,826.96/5,735.58 = 2,096.80/x
3. Step 3: Cross multiply
   3,826.96x = 5,735.58 × 2,096.80
4. Step 4: Simplify right side
   3,826.96x = 12,026,364.14
5. Step 5: Solve for x
   x = 12,026,364.14/3,826.96
6. Step 6: Final answer
   x = 3,142.54