Finding the Fourth Proportional to 1,052.09, 1,577.69 and 321.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,052.09 : 1,577.69 = 321.50 : x
2. Step 2: Convert to fraction form
   1,052.09/1,577.69 = 321.50/x
3. Step 3: Cross multiply
   1,052.09x = 1,577.69 × 321.50
4. Step 4: Simplify right side
   1,052.09x = 507,227.34
5. Step 5: Solve for x
   x = 507,227.34/1,052.09
6. Step 6: Final answer
   x = 482.11