Finding the Fourth Proportional to 2,202.48, 3,036.72 and 1,456.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,202.48 : 3,036.72 = 1,456.20 : x
2. Step 2: Convert to fraction form
   2,202.48/3,036.72 = 1,456.20/x
3. Step 3: Cross multiply
   2,202.48x = 3,036.72 × 1,456.20
4. Step 4: Simplify right side
   2,202.48x = 4,422,071.66
5. Step 5: Solve for x
   x = 4,422,071.66/2,202.48
6. Step 6: Final answer
   x = 2,007.77