Finding the Fourth Proportional to 3,435.78, 4,738.86 and 2,256.42

Step by Step Solution

1. Step 1: Write the proportion equation
   3,435.78 : 4,738.86 = 2,256.42 : x
2. Step 2: Convert to fraction form
   3,435.78/4,738.86 = 2,256.42/x
3. Step 3: Cross multiply
   3,435.78x = 4,738.86 × 2,256.42
4. Step 4: Simplify right side
   3,435.78x = 10,692,858.48
5. Step 5: Solve for x
   x = 10,692,858.48/3,435.78
6. Step 6: Final answer
   x = 3,112.21