Finding the Fourth Proportional to 2,590.75, 3,882.64 and 1,419

Step by Step Solution

1. Step 1: Write the proportion equation
   2,590.75 : 3,882.64 = 1,419 : x
2. Step 2: Convert to fraction form
   2,590.75/3,882.64 = 1,419/x
3. Step 3: Cross multiply
   2,590.75x = 3,882.64 × 1,419
4. Step 4: Simplify right side
   2,590.75x = 5,509,466.16
5. Step 5: Solve for x
   x = 5,509,466.16/2,590.75
6. Step 6: Final answer
   x = 2,126.59