Finding the Fourth Proportional to 1,053.50, 1,580.18 and 323.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,053.50 : 1,580.18 = 323.02 : x
2. Step 2: Convert to fraction form
   1,053.50/1,580.18 = 323.02/x
3. Step 3: Cross multiply
   1,053.50x = 1,580.18 × 323.02
4. Step 4: Simplify right side
   1,053.50x = 510,426.60
5. Step 5: Solve for x
   x = 510,426.60/1,053.50
6. Step 6: Final answer
   x = 484.50