Finding the Fourth Proportional to 2,082.24, 3,120.61 and 1,157.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,082.24 : 3,120.61 = 1,157.31 : x
2. Step 2: Convert to fraction form
   2,082.24/3,120.61 = 1,157.31/x
3. Step 3: Cross multiply
   2,082.24x = 3,120.61 × 1,157.31
4. Step 4: Simplify right side
   2,082.24x = 3,611,513.16
5. Step 5: Solve for x
   x = 3,611,513.16/2,082.24
6. Step 6: Final answer
   x = 1,734.44