Finding the Fourth Proportional to 2,635, 3,636.48 and 1,456.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,635 : 3,636.48 = 1,456.10 : x
2. Step 2: Convert to fraction form
   2,635/3,636.48 = 1,456.10/x
3. Step 3: Cross multiply
   2,635x = 3,636.48 × 1,456.10
4. Step 4: Simplify right side
   2,635x = 5,295,078.53
5. Step 5: Solve for x
   x = 5,295,078.53/2,635
6. Step 6: Final answer
   x = 2,009.52