Finding the Fourth Proportional to 1,002.69, 1,503.93 and 309.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.69 : 1,503.93 = 309.83 : x
2. Step 2: Convert to fraction form
   1,002.69/1,503.93 = 309.83/x
3. Step 3: Cross multiply
   1,002.69x = 1,503.93 × 309.83
4. Step 4: Simplify right side
   1,002.69x = 465,955.11
5. Step 5: Solve for x
   x = 465,955.11/1,002.69
6. Step 6: Final answer
   x = 464.71