Finding the Fourth Proportional to 2,142.10, 3,213.23 and 582.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,142.10 : 3,213.23 = 582.10 : x
2. Step 2: Convert to fraction form
   2,142.10/3,213.23 = 582.10/x
3. Step 3: Cross multiply
   2,142.10x = 3,213.23 × 582.10
4. Step 4: Simplify right side
   2,142.10x = 1,870,421.18
5. Step 5: Solve for x
   x = 1,870,421.18/2,142.10
6. Step 6: Final answer
   x = 873.17