Finding the Fourth Proportional to 3,654.57, 5,042.61 and 2,082.63

Step by Step Solution

1. Step 1: Write the proportion equation
   3,654.57 : 5,042.61 = 2,082.63 : x
2. Step 2: Convert to fraction form
   3,654.57/5,042.61 = 2,082.63/x
3. Step 3: Cross multiply
   3,654.57x = 5,042.61 × 2,082.63
4. Step 4: Simplify right side
   3,654.57x = 10,501,890.86
5. Step 5: Solve for x
   x = 10,501,890.86/3,654.57
6. Step 6: Final answer
   x = 2,873.63