Finding the Fourth Proportional to 1,052.28, 1,578.69 and 321.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,052.28 : 1,578.69 = 321.86 : x
2. Step 2: Convert to fraction form
   1,052.28/1,578.69 = 321.86/x
3. Step 3: Cross multiply
   1,052.28x = 1,578.69 × 321.86
4. Step 4: Simplify right side
   1,052.28x = 508,109.27
5. Step 5: Solve for x
   x = 508,109.27/1,052.28
6. Step 6: Final answer
   x = 482.87