Finding the Fourth Proportional to 2,588.24, 3,571.78 and 1,409.30

Step by Step Solution

1. Step 1: Write the proportion equation
   2,588.24 : 3,571.78 = 1,409.30 : x
2. Step 2: Convert to fraction form
   2,588.24/3,571.78 = 1,409.30/x
3. Step 3: Cross multiply
   2,588.24x = 3,571.78 × 1,409.30
4. Step 4: Simplify right side
   2,588.24x = 5,033,709.55
5. Step 5: Solve for x
   x = 5,033,709.55/2,588.24
6. Step 6: Final answer
   x = 1,944.84