Finding the Fourth Proportional to 2,638.50, 3,640.93 and 1,459.47

Step by Step Solution

1. Step 1: Write the proportion equation
   2,638.50 : 3,640.93 = 1,459.47 : x
2. Step 2: Convert to fraction form
   2,638.50/3,640.93 = 1,459.47/x
3. Step 3: Cross multiply
   2,638.50x = 3,640.93 × 1,459.47
4. Step 4: Simplify right side
   2,638.50x = 5,313,828.11
5. Step 5: Solve for x
   x = 5,313,828.11/2,638.50
6. Step 6: Final answer
   x = 2,013.96