Finding the Fourth Proportional to 1,002.04, 1,502.16 and 385.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.04 : 1,502.16 = 385.57 : x
2. Step 2: Convert to fraction form
   1,002.04/1,502.16 = 385.57/x
3. Step 3: Cross multiply
   1,002.04x = 1,502.16 × 385.57
4. Step 4: Simplify right side
   1,002.04x = 579,187.83
5. Step 5: Solve for x
   x = 579,187.83/1,002.04
6. Step 6: Final answer
   x = 578.01