Finding the Fourth Proportional to 2,142.52, 3,213.61 and 582.46

Step by Step Solution

1. Step 1: Write the proportion equation
   2,142.52 : 3,213.61 = 582.46 : x
2. Step 2: Convert to fraction form
   2,142.52/3,213.61 = 582.46/x
3. Step 3: Cross multiply
   2,142.52x = 3,213.61 × 582.46
4. Step 4: Simplify right side
   2,142.52x = 1,871,789.79
5. Step 5: Solve for x
   x = 1,871,789.79/2,142.52
6. Step 6: Final answer
   x = 873.64