Finding the Fourth Proportional to 2,588.34, 3,571.89 and 1,409.40

Step by Step Solution

1. Step 1: Write the proportion equation
   2,588.34 : 3,571.89 = 1,409.40 : x
2. Step 2: Convert to fraction form
   2,588.34/3,571.89 = 1,409.40/x
3. Step 3: Cross multiply
   2,588.34x = 3,571.89 × 1,409.40
4. Step 4: Simplify right side
   2,588.34x = 5,034,221.77
5. Step 5: Solve for x
   x = 5,034,221.77/2,588.34
6. Step 6: Final answer
   x = 1,944.96