Finding the Fourth Proportional to 1,290.28, 1,933.67 and 827.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,290.28 : 1,933.67 = 827.82 : x
2. Step 2: Convert to fraction form
   1,290.28/1,933.67 = 827.82/x
3. Step 3: Cross multiply
   1,290.28x = 1,933.67 × 827.82
4. Step 4: Simplify right side
   1,290.28x = 1,600,732.77
5. Step 5: Solve for x
   x = 1,600,732.77/1,290.28
6. Step 6: Final answer
   x = 1,240.61