Finding the Fourth Proportional to 2,082.50, 3,121.32 and 1,157.62

Step by Step Solution

1. Step 1: Write the proportion equation
   2,082.50 : 3,121.32 = 1,157.62 : x
2. Step 2: Convert to fraction form
   2,082.50/3,121.32 = 1,157.62/x
3. Step 3: Cross multiply
   2,082.50x = 3,121.32 × 1,157.62
4. Step 4: Simplify right side
   2,082.50x = 3,613,286.85
5. Step 5: Solve for x
   x = 3,613,286.85/2,082.50
6. Step 6: Final answer
   x = 1,735.07