Finding the Fourth Proportional to 2,582.00, 3,562.89 and 1,462.92

Step by Step Solution

1. Step 1: Write the proportion equation
   2,582.00 : 3,562.89 = 1,462.92 : x
2. Step 2: Convert to fraction form
   2,582.00/3,562.89 = 1,462.92/x
3. Step 3: Cross multiply
   2,582.00x = 3,562.89 × 1,462.92
4. Step 4: Simplify right side
   2,582.00x = 5,212,224.23
5. Step 5: Solve for x
   x = 5,212,224.23/2,582.00
6. Step 6: Final answer
   x = 2,018.67