Finding the Fourth Proportional to 2,638.63, 3,641.61 and 1,459.90

Step by Step Solution

1. Step 1: Write the proportion equation
   2,638.63 : 3,641.61 = 1,459.90 : x
2. Step 2: Convert to fraction form
   2,638.63/3,641.61 = 1,459.90/x
3. Step 3: Cross multiply
   2,638.63x = 3,641.61 × 1,459.90
4. Step 4: Simplify right side
   2,638.63x = 5,316,386.44
5. Step 5: Solve for x
   x = 5,316,386.44/2,638.63
6. Step 6: Final answer
   x = 2,014.83