Finding the Fourth Proportional to 2,544.64, 3,814.72 and 1,311.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,544.64 : 3,814.72 = 1,311.42 : x
2. Step 2: Convert to fraction form
   2,544.64/3,814.72 = 1,311.42/x
3. Step 3: Cross multiply
   2,544.64x = 3,814.72 × 1,311.42
4. Step 4: Simplify right side
   2,544.64x = 5,002,700.10
5. Step 5: Solve for x
   x = 5,002,700.10/2,544.64
6. Step 6: Final answer
   x = 1,965.98