Finding the Fourth Proportional to 1,002.69, 1,503.91 and 309.35

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.69 : 1,503.91 = 309.35 : x
2. Step 2: Convert to fraction form
   1,002.69/1,503.91 = 309.35/x
3. Step 3: Cross multiply
   1,002.69x = 1,503.91 × 309.35
4. Step 4: Simplify right side
   1,002.69x = 465,238.70
5. Step 5: Solve for x
   x = 465,238.70/1,002.69
6. Step 6: Final answer
   x = 463.99