Finding the Fourth Proportional to 1,424.72, 1,965.92 and 827.19

Step by Step Solution

1. Step 1: Write the proportion equation
   1,424.72 : 1,965.92 = 827.19 : x
2. Step 2: Convert to fraction form
   1,424.72/1,965.92 = 827.19/x
3. Step 3: Cross multiply
   1,424.72x = 1,965.92 × 827.19
4. Step 4: Simplify right side
   1,424.72x = 1,626,185.23
5. Step 5: Solve for x
   x = 1,626,185.23/1,424.72
6. Step 6: Final answer
   x = 1,141.41