Finding the Fourth Proportional to 2,554.09, 3,828.41 and 1,456.09

Step by Step Solution

1. Step 1: Write the proportion equation
   2,554.09 : 3,828.41 = 1,456.09 : x
2. Step 2: Convert to fraction form
   2,554.09/3,828.41 = 1,456.09/x
3. Step 3: Cross multiply
   2,554.09x = 3,828.41 × 1,456.09
4. Step 4: Simplify right side
   2,554.09x = 5,574,509.52
5. Step 5: Solve for x
   x = 5,574,509.52/2,554.09
6. Step 6: Final answer
   x = 2,182.58