Finding the Fourth Proportional to 3,654.58, 5,042.60 and 2,082.64

Step by Step Solution

1. Step 1: Write the proportion equation
   3,654.58 : 5,042.60 = 2,082.64 : x
2. Step 2: Convert to fraction form
   3,654.58/5,042.60 = 2,082.64/x
3. Step 3: Cross multiply
   3,654.58x = 5,042.60 × 2,082.64
4. Step 4: Simplify right side
   3,654.58x = 10,501,920.46
5. Step 5: Solve for x
   x = 10,501,920.46/3,654.58
6. Step 6: Final answer
   x = 2,873.63