Finding the Fourth Proportional to 3,782.14, 5,219.24 and 2,103.54

Step by Step Solution

1. Step 1: Write the proportion equation
   3,782.14 : 5,219.24 = 2,103.54 : x
2. Step 2: Convert to fraction form
   3,782.14/5,219.24 = 2,103.54/x
3. Step 3: Cross multiply
   3,782.14x = 5,219.24 × 2,103.54
4. Step 4: Simplify right side
   3,782.14x = 10,978,880.11
5. Step 5: Solve for x
   x = 10,978,880.11/3,782.14
6. Step 6: Final answer
   x = 2,902.82