Finding the Fourth Proportional to 2,002.27, 3,002.14 and 615.14

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.27 : 3,002.14 = 615.14 : x
2. Step 2: Convert to fraction form
   2,002.27/3,002.14 = 615.14/x
3. Step 3: Cross multiply
   2,002.27x = 3,002.14 × 615.14
4. Step 4: Simplify right side
   2,002.27x = 1,846,736.40
5. Step 5: Solve for x
   x = 1,846,736.40/2,002.27
6. Step 6: Final answer
   x = 922.32