Finding the Fourth Proportional to 2,082.57, 2,873.86 and 1,138.34

Step by Step Solution

1. Step 1: Write the proportion equation
   2,082.57 : 2,873.86 = 1,138.34 : x
2. Step 2: Convert to fraction form
   2,082.57/2,873.86 = 1,138.34/x
3. Step 3: Cross multiply
   2,082.57x = 2,873.86 × 1,138.34
4. Step 4: Simplify right side
   2,082.57x = 3,271,429.79
5. Step 5: Solve for x
   x = 3,271,429.79/2,082.57
6. Step 6: Final answer
   x = 1,570.86