Finding the Fourth Proportional to 3,654.12, 5,042.70 and 2,082.18

Step by Step Solution

1. Step 1: Write the proportion equation
   3,654.12 : 5,042.70 = 2,082.18 : x
2. Step 2: Convert to fraction form
   3,654.12/5,042.70 = 2,082.18/x
3. Step 3: Cross multiply
   3,654.12x = 5,042.70 × 2,082.18
4. Step 4: Simplify right side
   3,654.12x = 10,499,809.09
5. Step 5: Solve for x
   x = 10,499,809.09/3,654.12
6. Step 6: Final answer
   x = 2,873.42