Finding the Fourth Proportional to 2,575.85, 3,865.50 and 1,015.67

Step by Step Solution

1. Step 1: Write the proportion equation
   2,575.85 : 3,865.50 = 1,015.67 : x
2. Step 2: Convert to fraction form
   2,575.85/3,865.50 = 1,015.67/x
3. Step 3: Cross multiply
   2,575.85x = 3,865.50 × 1,015.67
4. Step 4: Simplify right side
   2,575.85x = 3,926,067.31
5. Step 5: Solve for x
   x = 3,926,067.31/2,575.85
6. Step 6: Final answer
   x = 1,524.19