Finding the Fourth Proportional to 2,001.50, 3,001.25 and 614.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,001.50 : 3,001.25 = 614.50 : x
2. Step 2: Convert to fraction form
   2,001.50/3,001.25 = 614.50/x
3. Step 3: Cross multiply
   2,001.50x = 3,001.25 × 614.50
4. Step 4: Simplify right side
   2,001.50x = 1,844,250.05
5. Step 5: Solve for x
   x = 1,844,250.05/2,001.50
6. Step 6: Final answer
   x = 921.44