Finding the Fourth Proportional to 1,002.18, 1,503.06 and 271.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.18 : 1,503.06 = 271.83 : x
2. Step 2: Convert to fraction form
   1,002.18/1,503.06 = 271.83/x
3. Step 3: Cross multiply
   1,002.18x = 1,503.06 × 271.83
4. Step 4: Simplify right side
   1,002.18x = 408,576.80
5. Step 5: Solve for x
   x = 408,576.80/1,002.18
6. Step 6: Final answer
   x = 407.69