Finding the Fourth Proportional to 2,462.59, 3,691.45 and 1,584.96

Step by Step Solution

1. Step 1: Write the proportion equation
   2,462.59 : 3,691.45 = 1,584.96 : x
2. Step 2: Convert to fraction form
   2,462.59/3,691.45 = 1,584.96/x
3. Step 3: Cross multiply
   2,462.59x = 3,691.45 × 1,584.96
4. Step 4: Simplify right side
   2,462.59x = 5,850,800.59
5. Step 5: Solve for x
   x = 5,850,800.59/2,462.59
6. Step 6: Final answer
   x = 2,375.87