Finding the Fourth Proportional to 2,504.64, 3,456 and 1,456.48

Step by Step Solution

1. Step 1: Write the proportion equation
   2,504.64 : 3,456 = 1,456.48 : x
2. Step 2: Convert to fraction form
   2,504.64/3,456 = 1,456.48/x
3. Step 3: Cross multiply
   2,504.64x = 3,456 × 1,456.48
4. Step 4: Simplify right side
   2,504.64x = 5,033,594.88
5. Step 5: Solve for x
   x = 5,033,594.88/2,504.64
6. Step 6: Final answer
   x = 2,009.71