Finding the Fourth Proportional to 3,498.42, 4,827.39 and 2,082.14

Step by Step Solution

1. Step 1: Write the proportion equation
   3,498.42 : 4,827.39 = 2,082.14 : x
2. Step 2: Convert to fraction form
   3,498.42/4,827.39 = 2,082.14/x
3. Step 3: Cross multiply
   3,498.42x = 4,827.39 × 2,082.14
4. Step 4: Simplify right side
   3,498.42x = 10,051,301.81
5. Step 5: Solve for x
   x = 10,051,301.81/3,498.42
6. Step 6: Final answer
   x = 2,873.10