Finding the Fourth Proportional to 1,002.27, 1,502.82 and 385.68

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.27 : 1,502.82 = 385.68 : x
2. Step 2: Convert to fraction form
   1,002.27/1,502.82 = 385.68/x
3. Step 3: Cross multiply
   1,002.27x = 1,502.82 × 385.68
4. Step 4: Simplify right side
   1,002.27x = 579,607.62
5. Step 5: Solve for x
   x = 579,607.62/1,002.27
6. Step 6: Final answer
   x = 578.29