Finding the Fourth Proportional to 2,462.85, 3,691.89 and 1,582.89

Step by Step Solution

1. Step 1: Write the proportion equation
   2,462.85 : 3,691.89 = 1,582.89 : x
2. Step 2: Convert to fraction form
   2,462.85/3,691.89 = 1,582.89/x
3. Step 3: Cross multiply
   2,462.85x = 3,691.89 × 1,582.89
4. Step 4: Simplify right side
   2,462.85x = 5,843,855.76
5. Step 5: Solve for x
   x = 5,843,855.76/2,462.85
6. Step 6: Final answer
   x = 2,372.80