Finding the Fourth Proportional to 2,574.37, 3,866.73 and 1,536.40

Step by Step Solution

1. Step 1: Write the proportion equation
   2,574.37 : 3,866.73 = 1,536.40 : x
2. Step 2: Convert to fraction form
   2,574.37/3,866.73 = 1,536.40/x
3. Step 3: Cross multiply
   2,574.37x = 3,866.73 × 1,536.40
4. Step 4: Simplify right side
   2,574.37x = 5,940,843.97
5. Step 5: Solve for x
   x = 5,940,843.97/2,574.37
6. Step 6: Final answer
   x = 2,307.69