Finding the Fourth Proportional to 1,002.87, 1,502.12 and 827.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.87 : 1,502.12 = 827.57 : x
2. Step 2: Convert to fraction form
   1,002.87/1,502.12 = 827.57/x
3. Step 3: Cross multiply
   1,002.87x = 1,502.12 × 827.57
4. Step 4: Simplify right side
   1,002.87x = 1,243,115.27
5. Step 5: Solve for x
   x = 1,243,115.27/1,002.87
6. Step 6: Final answer
   x = 1,239.56