Finding the Fourth Proportional to 2,531.64, 3,496.37 and 2,256.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,531.64 : 3,496.37 = 2,256.78 : x
2. Step 2: Convert to fraction form
   2,531.64/3,496.37 = 2,256.78/x
3. Step 3: Cross multiply
   2,531.64x = 3,496.37 × 2,256.78
4. Step 4: Simplify right side
   2,531.64x = 7,890,537.89
5. Step 5: Solve for x
   x = 7,890,537.89/2,531.64
6. Step 6: Final answer
   x = 3,116.77