Finding the Fourth Proportional to 1,003.03, 1,502.34 and 827.73

Step by Step Solution

1. Step 1: Write the proportion equation
   1,003.03 : 1,502.34 = 827.73 : x
2. Step 2: Convert to fraction form
   1,003.03/1,502.34 = 827.73/x
3. Step 3: Cross multiply
   1,003.03x = 1,502.34 × 827.73
4. Step 4: Simplify right side
   1,003.03x = 1,243,531.89
5. Step 5: Solve for x
   x = 1,243,531.89/1,003.03
6. Step 6: Final answer
   x = 1,239.78