Finding the Fourth Proportional to 1,002.88, 1,504.18 and 309.35

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.88 : 1,504.18 = 309.35 : x
2. Step 2: Convert to fraction form
   1,002.88/1,504.18 = 309.35/x
3. Step 3: Cross multiply
   1,002.88x = 1,504.18 × 309.35
4. Step 4: Simplify right side
   1,002.88x = 465,322.23
5. Step 5: Solve for x
   x = 465,322.23/1,002.88
6. Step 6: Final answer
   x = 463.99