Finding the Fourth Proportional to 2,082, 3,113.61 and 1,588.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,082 : 3,113.61 = 1,588.56 : x
2. Step 2: Convert to fraction form
   2,082/3,113.61 = 1,588.56/x
3. Step 3: Cross multiply
   2,082x = 3,113.61 × 1,588.56
4. Step 4: Simplify right side
   2,082x = 4,946,156.30
5. Step 5: Solve for x
   x = 4,946,156.30/2,082
6. Step 6: Final answer
   x = 2,375.68