Finding the Fourth Proportional to 1,002.29, 1,503.32 and 271.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.29 : 1,503.32 = 271.76 : x
2. Step 2: Convert to fraction form
   1,002.29/1,503.32 = 271.76/x
3. Step 3: Cross multiply
   1,002.29x = 1,503.32 × 271.76
4. Step 4: Simplify right side
   1,002.29x = 408,533.37
5. Step 5: Solve for x
   x = 408,533.37/1,002.29
6. Step 6: Final answer
   x = 407.60