Finding the Fourth Proportional to 1,002.83, 1,503.89 and 386.48

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.83 : 1,503.89 = 386.48 : x
2. Step 2: Convert to fraction form
   1,002.83/1,503.89 = 386.48/x
3. Step 3: Cross multiply
   1,002.83x = 1,503.89 × 386.48
4. Step 4: Simplify right side
   1,002.83x = 581,222.49
5. Step 5: Solve for x
   x = 581,222.49/1,002.83
6. Step 6: Final answer
   x = 579.59