Finding the Fourth Proportional to 1,424.52, 1,965.82 and 827.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,424.52 : 1,965.82 = 827.12 : x
2. Step 2: Convert to fraction form
   1,424.52/1,965.82 = 827.12/x
3. Step 3: Cross multiply
   1,424.52x = 1,965.82 × 827.12
4. Step 4: Simplify right side
   1,424.52x = 1,625,969.04
5. Step 5: Solve for x
   x = 1,625,969.04/1,424.52
6. Step 6: Final answer
   x = 1,141.42