Finding the Fourth Proportional to 3,834.56, 5,743.20 and 2,099

Step by Step Solution

1. Step 1: Write the proportion equation
   3,834.56 : 5,743.20 = 2,099 : x
2. Step 2: Convert to fraction form
   3,834.56/5,743.20 = 2,099/x
3. Step 3: Cross multiply
   3,834.56x = 5,743.20 × 2,099
4. Step 4: Simplify right side
   3,834.56x = 12,054,976.80
5. Step 5: Solve for x
   x = 12,054,976.80/3,834.56
6. Step 6: Final answer
   x = 3,143.77