Finding the Fourth Proportional to 2,635.13, 3,636.52 and 1,456.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,635.13 : 3,636.52 = 1,456.20 : x
2. Step 2: Convert to fraction form
   2,635.13/3,636.52 = 1,456.20/x
3. Step 3: Cross multiply
   2,635.13x = 3,636.52 × 1,456.20
4. Step 4: Simplify right side
   2,635.13x = 5,295,500.42
5. Step 5: Solve for x
   x = 5,295,500.42/2,635.13
6. Step 6: Final answer
   x = 2,009.58