Finding the Fourth Proportional to 2,638.16, 3,640.23 and 1,459

Step by Step Solution

1. Step 1: Write the proportion equation
   2,638.16 : 3,640.23 = 1,459 : x
2. Step 2: Convert to fraction form
   2,638.16/3,640.23 = 1,459/x
3. Step 3: Cross multiply
   2,638.16x = 3,640.23 × 1,459
4. Step 4: Simplify right side
   2,638.16x = 5,311,095.57
5. Step 5: Solve for x
   x = 5,311,095.57/2,638.16
6. Step 6: Final answer
   x = 2,013.18