Finding the Fourth Proportional to 2,563.72, 3,846.42 and 1,264.28

Step by Step Solution

1. Step 1: Write the proportion equation
   2,563.72 : 3,846.42 = 1,264.28 : x
2. Step 2: Convert to fraction form
   2,563.72/3,846.42 = 1,264.28/x
3. Step 3: Cross multiply
   2,563.72x = 3,846.42 × 1,264.28
4. Step 4: Simplify right side
   2,563.72x = 4,862,932.65
5. Step 5: Solve for x
   x = 4,862,932.65/2,563.72
6. Step 6: Final answer
   x = 1,896.83