Finding the Fourth Proportional to 2,514.88, 3,765.27 and 1,896.64

Step by Step Solution

1. Step 1: Write the proportion equation
   2,514.88 : 3,765.27 = 1,896.64 : x
2. Step 2: Convert to fraction form
   2,514.88/3,765.27 = 1,896.64/x
3. Step 3: Cross multiply
   2,514.88x = 3,765.27 × 1,896.64
4. Step 4: Simplify right side
   2,514.88x = 7,141,361.69
5. Step 5: Solve for x
   x = 7,141,361.69/2,514.88
6. Step 6: Final answer
   x = 2,839.64