Finding the Fourth Proportional to 2,082.30, 3,118.05 and 1,646.70

Step by Step Solution

1. Step 1: Write the proportion equation
   2,082.30 : 3,118.05 = 1,646.70 : x
2. Step 2: Convert to fraction form
   2,082.30/3,118.05 = 1,646.70/x
3. Step 3: Cross multiply
   2,082.30x = 3,118.05 × 1,646.70
4. Step 4: Simplify right side
   2,082.30x = 5,134,492.94
5. Step 5: Solve for x
   x = 5,134,492.94/2,082.30
6. Step 6: Final answer
   x = 2,465.78