Finding the Fourth Proportional to 1,004.82, 1,506.69 and 311.28

Step by Step Solution

1. Step 1: Write the proportion equation
   1,004.82 : 1,506.69 = 311.28 : x
2. Step 2: Convert to fraction form
   1,004.82/1,506.69 = 311.28/x
3. Step 3: Cross multiply
   1,004.82x = 1,506.69 × 311.28
4. Step 4: Simplify right side
   1,004.82x = 469,002.46
5. Step 5: Solve for x
   x = 469,002.46/1,004.82
6. Step 6: Final answer
   x = 466.75