Finding the Fourth Proportional to 1,052.50, 1,578.72 and 321.97

Step by Step Solution

1. Step 1: Write the proportion equation
   1,052.50 : 1,578.72 = 321.97 : x
2. Step 2: Convert to fraction form
   1,052.50/1,578.72 = 321.97/x
3. Step 3: Cross multiply
   1,052.50x = 1,578.72 × 321.97
4. Step 4: Simplify right side
   1,052.50x = 508,300.48
5. Step 5: Solve for x
   x = 508,300.48/1,052.50
6. Step 6: Final answer
   x = 482.95