Finding the Fourth Proportional to 3,076.02, 4,616.25 and 2,256.42

Step by Step Solution

1. Step 1: Write the proportion equation
   3,076.02 : 4,616.25 = 2,256.42 : x
2. Step 2: Convert to fraction form
   3,076.02/4,616.25 = 2,256.42/x
3. Step 3: Cross multiply
   3,076.02x = 4,616.25 × 2,256.42
4. Step 4: Simplify right side
   3,076.02x = 10,416,198.83
5. Step 5: Solve for x
   x = 10,416,198.83/3,076.02
6. Step 6: Final answer
   x = 3,386.26