Finding the Fourth Proportional to 2,551.78, 3,828.38 and 1,456.91

Step by Step Solution

1. Step 1: Write the proportion equation
   2,551.78 : 3,828.38 = 1,456.91 : x
2. Step 2: Convert to fraction form
   2,551.78/3,828.38 = 1,456.91/x
3. Step 3: Cross multiply
   2,551.78x = 3,828.38 × 1,456.91
4. Step 4: Simplify right side
   2,551.78x = 5,577,605.11
5. Step 5: Solve for x
   x = 5,577,605.11/2,551.78
6. Step 6: Final answer
   x = 2,185.77