Finding the Fourth Proportional to 2,005.38, 3,007.82 and 618.71

Step by Step Solution

1. Step 1: Write the proportion equation
   2,005.38 : 3,007.82 = 618.71 : x
2. Step 2: Convert to fraction form
   2,005.38/3,007.82 = 618.71/x
3. Step 3: Cross multiply
   2,005.38x = 3,007.82 × 618.71
4. Step 4: Simplify right side
   2,005.38x = 1,860,954.82
5. Step 5: Solve for x
   x = 1,860,954.82/2,005.38
6. Step 6: Final answer
   x = 927.98