Finding the Fourth Proportional to 2,587.90, 3,571.25 and 1,409

Step by Step Solution

1. Step 1: Write the proportion equation
   2,587.90 : 3,571.25 = 1,409 : x
2. Step 2: Convert to fraction form
   2,587.90/3,571.25 = 1,409/x
3. Step 3: Cross multiply
   2,587.90x = 3,571.25 × 1,409
4. Step 4: Simplify right side
   2,587.90x = 5,031,891.25
5. Step 5: Solve for x
   x = 5,031,891.25/2,587.90
6. Step 6: Final answer
   x = 1,944.39