Finding the Fourth Proportional to 2,142.69, 3,213.77 and 582.81

Step by Step Solution

1. Step 1: Write the proportion equation
   2,142.69 : 3,213.77 = 582.81 : x
2. Step 2: Convert to fraction form
   2,142.69/3,213.77 = 582.81/x
3. Step 3: Cross multiply
   2,142.69x = 3,213.77 × 582.81
4. Step 4: Simplify right side
   2,142.69x = 1,873,014.38
5. Step 5: Solve for x
   x = 1,873,014.38/2,142.69
6. Step 6: Final answer
   x = 874.14