Finding the Fourth Proportional to 1,082.45, 1,493.78 and 585.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,082.45 : 1,493.78 = 585.09 : x
2. Step 2: Convert to fraction form
   1,082.45/1,493.78 = 585.09/x
3. Step 3: Cross multiply
   1,082.45x = 1,493.78 × 585.09
4. Step 4: Simplify right side
   1,082.45x = 873,993.31
5. Step 5: Solve for x
   x = 873,993.31/1,082.45
6. Step 6: Final answer
   x = 807.42