Finding the Fourth Proportional to 2,465.46, 3,402.81 and 1,582.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,465.46 : 3,402.81 = 1,582.38 : x
2. Step 2: Convert to fraction form
   2,465.46/3,402.81 = 1,582.38/x
3. Step 3: Cross multiply
   2,465.46x = 3,402.81 × 1,582.38
4. Step 4: Simplify right side
   2,465.46x = 5,384,538.49
5. Step 5: Solve for x
   x = 5,384,538.49/2,465.46
6. Step 6: Final answer
   x = 2,183.99