Finding the Fourth Proportional to 1,650.03, 2,471.88 and 827.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,650.03 : 2,471.88 = 827.34 : x
2. Step 2: Convert to fraction form
   1,650.03/2,471.88 = 827.34/x
3. Step 3: Cross multiply
   1,650.03x = 2,471.88 × 827.34
4. Step 4: Simplify right side
   1,650.03x = 2,045,085.20
5. Step 5: Solve for x
   x = 2,045,085.20/1,650.03
6. Step 6: Final answer
   x = 1,239.42