Finding the Fourth Proportional to 2,561.14, 3,833.78 and 1,388.24

Step by Step Solution

1. Step 1: Write the proportion equation
   2,561.14 : 3,833.78 = 1,388.24 : x
2. Step 2: Convert to fraction form
   2,561.14/3,833.78 = 1,388.24/x
3. Step 3: Cross multiply
   2,561.14x = 3,833.78 × 1,388.24
4. Step 4: Simplify right side
   2,561.14x = 5,322,206.75
5. Step 5: Solve for x
   x = 5,322,206.75/2,561.14
6. Step 6: Final answer
   x = 2,078.06