Finding the Fourth Proportional to 1,142.02, 1,712.83 and 320.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,142.02 : 1,712.83 = 320.10 : x
2. Step 2: Convert to fraction form
   1,142.02/1,712.83 = 320.10/x
3. Step 3: Cross multiply
   1,142.02x = 1,712.83 × 320.10
4. Step 4: Simplify right side
   1,142.02x = 548,276.88
5. Step 5: Solve for x
   x = 548,276.88/1,142.02
6. Step 6: Final answer
   x = 480.09