Finding the Fourth Proportional to 1,082.87, 1,494.35 and 585.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,082.87 : 1,494.35 = 585.50 : x
2. Step 2: Convert to fraction form
   1,082.87/1,494.35 = 585.50/x
3. Step 3: Cross multiply
   1,082.87x = 1,494.35 × 585.50
4. Step 4: Simplify right side
   1,082.87x = 874,939.33
5. Step 5: Solve for x
   x = 874,939.33/1,082.87
6. Step 6: Final answer
   x = 807.99