Finding the Fourth Proportional to 2,635.14, 3,636.50 and 1,456.18

Step by Step Solution

1. Step 1: Write the proportion equation
   2,635.14 : 3,636.50 = 1,456.18 : x
2. Step 2: Convert to fraction form
   2,635.14/3,636.50 = 1,456.18/x
3. Step 3: Cross multiply
   2,635.14x = 3,636.50 × 1,456.18
4. Step 4: Simplify right side
   2,635.14x = 5,295,398.57
5. Step 5: Solve for x
   x = 5,295,398.57/2,635.14
6. Step 6: Final answer
   x = 2,009.53