Finding the Fourth Proportional to 1,002.16, 1,503.24 and 271.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.16 : 1,503.24 = 271.72 : x
2. Step 2: Convert to fraction form
   1,002.16/1,503.24 = 271.72/x
3. Step 3: Cross multiply
   1,002.16x = 1,503.24 × 271.72
4. Step 4: Simplify right side
   1,002.16x = 408,460.37
5. Step 5: Solve for x
   x = 408,460.37/1,002.16
6. Step 6: Final answer
   x = 407.58