Finding the Fourth Proportional to 3,829.84, 5,746.38 and 2,096.44

Step by Step Solution

1. Step 1: Write the proportion equation
   3,829.84 : 5,746.38 = 2,096.44 : x
2. Step 2: Convert to fraction form
   3,829.84/5,746.38 = 2,096.44/x
3. Step 3: Cross multiply
   3,829.84x = 5,746.38 × 2,096.44
4. Step 4: Simplify right side
   3,829.84x = 12,046,940.89
5. Step 5: Solve for x
   x = 12,046,940.89/3,829.84
6. Step 6: Final answer
   x = 3,145.55