Finding the Fourth Proportional to 2,544.64, 3,514.35 and 2,269.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,544.64 : 3,514.35 = 2,269.78 : x
2. Step 2: Convert to fraction form
   2,544.64/3,514.35 = 2,269.78/x
3. Step 3: Cross multiply
   2,544.64x = 3,514.35 × 2,269.78
4. Step 4: Simplify right side
   2,544.64x = 7,976,801.34
5. Step 5: Solve for x
   x = 7,976,801.34/2,544.64
6. Step 6: Final answer
   x = 3,134.75