Finding the Fourth Proportional to 1,082.14, 1,493.35 and 584.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,082.14 : 1,493.35 = 584.78 : x
2. Step 2: Convert to fraction form
   1,082.14/1,493.35 = 584.78/x
3. Step 3: Cross multiply
   1,082.14x = 1,493.35 × 584.78
4. Step 4: Simplify right side
   1,082.14x = 873,273.42
5. Step 5: Solve for x
   x = 873,273.42/1,082.14
6. Step 6: Final answer
   x = 806.99