Finding the Fourth Proportional to 2,588.40, 3,571.98 and 1,409.46

Step by Step Solution

1. Step 1: Write the proportion equation
   2,588.40 : 3,571.98 = 1,409.46 : x
2. Step 2: Convert to fraction form
   2,588.40/3,571.98 = 1,409.46/x
3. Step 3: Cross multiply
   2,588.40x = 3,571.98 × 1,409.46
4. Step 4: Simplify right side
   2,588.40x = 5,034,562.93
5. Step 5: Solve for x
   x = 5,034,562.93/2,588.40
6. Step 6: Final answer
   x = 1,945.05