Finding the Fourth Proportional to 2,001.50, 3,002.69 and 614.95

Step by Step Solution

1. Step 1: Write the proportion equation
   2,001.50 : 3,002.69 = 614.95 : x
2. Step 2: Convert to fraction form
   2,001.50/3,002.69 = 614.95/x
3. Step 3: Cross multiply
   2,001.50x = 3,002.69 × 614.95
4. Step 4: Simplify right side
   2,001.50x = 1,846,507.20
5. Step 5: Solve for x
   x = 1,846,507.20/2,001.50
6. Step 6: Final answer
   x = 922.56