Finding the Fourth Proportional to 2,581.88, 3,563.36 and 1,638.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,581.88 : 3,563.36 = 1,638.16 : x
2. Step 2: Convert to fraction form
   2,581.88/3,563.36 = 1,638.16/x
3. Step 3: Cross multiply
   2,581.88x = 3,563.36 × 1,638.16
4. Step 4: Simplify right side
   2,581.88x = 5,837,353.82
5. Step 5: Solve for x
   x = 5,837,353.82/2,581.88
6. Step 6: Final answer
   x = 2,260.89