Finding the Fourth Proportional to 2,469.72, 3,703.72 and 825.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,469.72 : 3,703.72 = 825.76 : x
2. Step 2: Convert to fraction form
   2,469.72/3,703.72 = 825.76/x
3. Step 3: Cross multiply
   2,469.72x = 3,703.72 × 825.76
4. Step 4: Simplify right side
   2,469.72x = 3,058,383.83
5. Step 5: Solve for x
   x = 3,058,383.83/2,469.72
6. Step 6: Final answer
   x = 1,238.35