Finding the Fourth Proportional to 2,574.85, 3,852.71 and 1,535.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,574.85 : 3,852.71 = 1,535.42 : x
2. Step 2: Convert to fraction form
   2,574.85/3,852.71 = 1,535.42/x
3. Step 3: Cross multiply
   2,574.85x = 3,852.71 × 1,535.42
4. Step 4: Simplify right side
   2,574.85x = 5,915,527.99
5. Step 5: Solve for x
   x = 5,915,527.99/2,574.85
6. Step 6: Final answer
   x = 2,297.43