Finding the Fourth Proportional to 2,082.40, 2,870.31 and 1,382.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,082.40 : 2,870.31 = 1,382.56 : x
2. Step 2: Convert to fraction form
   2,082.40/2,870.31 = 1,382.56/x
3. Step 3: Cross multiply
   2,082.40x = 2,870.31 × 1,382.56
4. Step 4: Simplify right side
   2,082.40x = 3,968,375.79
5. Step 5: Solve for x
   x = 3,968,375.79/2,082.40
6. Step 6: Final answer
   x = 1,905.67