Finding the Fourth Proportional to 1,003.01, 1,504.00 and 309.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,003.01 : 1,504.00 = 309.50 : x
2. Step 2: Convert to fraction form
   1,003.01/1,504.00 = 309.50/x
3. Step 3: Cross multiply
   1,003.01x = 1,504.00 × 309.50
4. Step 4: Simplify right side
   1,003.01x = 465,478.93
5. Step 5: Solve for x
   x = 465,478.93/1,003.01
6. Step 6: Final answer
   x = 464.08