Finding the Fourth Proportional to 1,002.47, 1,503.42 and 299.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.47 : 1,503.42 = 299.82 : x
2. Step 2: Convert to fraction form
   1,002.47/1,503.42 = 299.82/x
3. Step 3: Cross multiply
   1,002.47x = 1,503.42 × 299.82
4. Step 4: Simplify right side
   1,002.47x = 450,755.38
5. Step 5: Solve for x
   x = 450,755.38/1,002.47
6. Step 6: Final answer
   x = 449.65