Finding the Fourth Proportional to 3,654.77, 5,042.99 and 2,082.56

Step by Step Solution

1. Step 1: Write the proportion equation
   3,654.77 : 5,042.99 = 2,082.56 : x
2. Step 2: Convert to fraction form
   3,654.77/5,042.99 = 2,082.56/x
3. Step 3: Cross multiply
   3,654.77x = 5,042.99 × 2,082.56
4. Step 4: Simplify right side
   3,654.77x = 10,502,309.25
5. Step 5: Solve for x
   x = 10,502,309.25/3,654.77
6. Step 6: Final answer
   x = 2,873.59