Finding the Fourth Proportional to 1,002.96, 1,504.68 and 386.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.96 : 1,504.68 = 386.72 : x
2. Step 2: Convert to fraction form
   1,002.96/1,504.68 = 386.72/x
3. Step 3: Cross multiply
   1,002.96x = 1,504.68 × 386.72
4. Step 4: Simplify right side
   1,002.96x = 581,889.85
5. Step 5: Solve for x
   x = 581,889.85/1,002.96
6. Step 6: Final answer
   x = 580.17