Finding the Fourth Proportional to 1,082.18, 1,493.41 and 584.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,082.18 : 1,493.41 = 584.81 : x
2. Step 2: Convert to fraction form
   1,082.18/1,493.41 = 584.81/x
3. Step 3: Cross multiply
   1,082.18x = 1,493.41 × 584.81
4. Step 4: Simplify right side
   1,082.18x = 873,363.37
5. Step 5: Solve for x
   x = 873,363.37/1,082.18
6. Step 6: Final answer
   x = 807.04