Finding the Fourth Proportional to 2,552.58, 3,823.47 and 1,456.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,552.58 : 3,823.47 = 1,456.38 : x
2. Step 2: Convert to fraction form
   2,552.58/3,823.47 = 1,456.38/x
3. Step 3: Cross multiply
   2,552.58x = 3,823.47 × 1,456.38
4. Step 4: Simplify right side
   2,552.58x = 5,568,425.24
5. Step 5: Solve for x
   x = 5,568,425.24/2,552.58
6. Step 6: Final answer
   x = 2,181.49