Finding the Fourth Proportional to 2,638.32, 3,640.74 and 1,459.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,638.32 : 3,640.74 = 1,459.20 : x
2. Step 2: Convert to fraction form
   2,638.32/3,640.74 = 1,459.20/x
3. Step 3: Cross multiply
   2,638.32x = 3,640.74 × 1,459.20
4. Step 4: Simplify right side
   2,638.32x = 5,312,567.81
5. Step 5: Solve for x
   x = 5,312,567.81/2,638.32
6. Step 6: Final answer
   x = 2,013.62