Finding the Fourth Proportional to 3,868.28, 5,338.24 and 2,099.89

Step by Step Solution

1. Step 1: Write the proportion equation
   3,868.28 : 5,338.24 = 2,099.89 : x
2. Step 2: Convert to fraction form
   3,868.28/5,338.24 = 2,099.89/x
3. Step 3: Cross multiply
   3,868.28x = 5,338.24 × 2,099.89
4. Step 4: Simplify right side
   3,868.28x = 11,209,711.54
5. Step 5: Solve for x
   x = 11,209,711.54/3,868.28
6. Step 6: Final answer
   x = 2,897.85