Finding the Fourth Proportional to 3,654.67, 5,042.84 and 2,082.46

Step by Step Solution

1. Step 1: Write the proportion equation
   3,654.67 : 5,042.84 = 2,082.46 : x
2. Step 2: Convert to fraction form
   3,654.67/5,042.84 = 2,082.46/x
3. Step 3: Cross multiply
   3,654.67x = 5,042.84 × 2,082.46
4. Step 4: Simplify right side
   3,654.67x = 10,501,512.59
5. Step 5: Solve for x
   x = 10,501,512.59/3,654.67
6. Step 6: Final answer
   x = 2,873.45