Finding the Fourth Proportional to 2,588.06, 3,571.43 and 1,409.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,588.06 : 3,571.43 = 1,409.10 : x
2. Step 2: Convert to fraction form
   2,588.06/3,571.43 = 1,409.10/x
3. Step 3: Cross multiply
   2,588.06x = 3,571.43 × 1,409.10
4. Step 4: Simplify right side
   2,588.06x = 5,032,494.97
5. Step 5: Solve for x
   x = 5,032,494.97/2,588.06
6. Step 6: Final answer
   x = 1,944.51