Finding the Fourth Proportional to 3,574.08, 4,931.82 and 2,082.06

Step by Step Solution

1. Step 1: Write the proportion equation
   3,574.08 : 4,931.82 = 2,082.06 : x
2. Step 2: Convert to fraction form
   3,574.08/4,931.82 = 2,082.06/x
3. Step 3: Cross multiply
   3,574.08x = 4,931.82 × 2,082.06
4. Step 4: Simplify right side
   3,574.08x = 10,268,345.15
5. Step 5: Solve for x
   x = 10,268,345.15/3,574.08
6. Step 6: Final answer
   x = 2,873.00