Finding the Fourth Proportional to 2,082.61, 2,871.34 and 1,705.15

Step by Step Solution

1. Step 1: Write the proportion equation
   2,082.61 : 2,871.34 = 1,705.15 : x
2. Step 2: Convert to fraction form
   2,082.61/2,871.34 = 1,705.15/x
3. Step 3: Cross multiply
   2,082.61x = 2,871.34 × 1,705.15
4. Step 4: Simplify right side
   2,082.61x = 4,896,065.40
5. Step 5: Solve for x
   x = 4,896,065.40/2,082.61
6. Step 6: Final answer
   x = 2,350.93