Finding the Fourth Proportional to 2,635.16, 3,636.56 and 1,456.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,635.16 : 3,636.56 = 1,456.20 : x
2. Step 2: Convert to fraction form
   2,635.16/3,636.56 = 1,456.20/x
3. Step 3: Cross multiply
   2,635.16x = 3,636.56 × 1,456.20
4. Step 4: Simplify right side
   2,635.16x = 5,295,558.67
5. Step 5: Solve for x
   x = 5,295,558.67/2,635.16
6. Step 6: Final answer
   x = 2,009.58