Finding the Fourth Proportional to 2,583.57, 3,865.78 and 1,544.14

Step by Step Solution

1. Step 1: Write the proportion equation
   2,583.57 : 3,865.78 = 1,544.14 : x
2. Step 2: Convert to fraction form
   2,583.57/3,865.78 = 1,544.14/x
3. Step 3: Cross multiply
   2,583.57x = 3,865.78 × 1,544.14
4. Step 4: Simplify right side
   2,583.57x = 5,969,305.53
5. Step 5: Solve for x
   x = 5,969,305.53/2,583.57
6. Step 6: Final answer
   x = 2,310.49