Finding the Fourth Proportional to 2,082, 2,873.16 and 1,150.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,082 : 2,873.16 = 1,150.50 : x
2. Step 2: Convert to fraction form
   2,082/2,873.16 = 1,150.50/x
3. Step 3: Cross multiply
   2,082x = 2,873.16 × 1,150.50
4. Step 4: Simplify right side
   2,082x = 3,305,570.58
5. Step 5: Solve for x
   x = 3,305,570.58/2,082
6. Step 6: Final answer
   x = 1,587.69