Finding the Fourth Proportional to 2,635.40, 3,636.60 and 1,456.28

Step by Step Solution

1. Step 1: Write the proportion equation
   2,635.40 : 3,636.60 = 1,456.28 : x
2. Step 2: Convert to fraction form
   2,635.40/3,636.60 = 1,456.28/x
3. Step 3: Cross multiply
   2,635.40x = 3,636.60 × 1,456.28
4. Step 4: Simplify right side
   2,635.40x = 5,295,907.85
5. Step 5: Solve for x
   x = 5,295,907.85/2,635.40
6. Step 6: Final answer
   x = 2,009.53