Finding the Fourth Proportional to 2,005.69, 3,007.42 and 618.64

Step by Step Solution

1. Step 1: Write the proportion equation
   2,005.69 : 3,007.42 = 618.64 : x
2. Step 2: Convert to fraction form
   2,005.69/3,007.42 = 618.64/x
3. Step 3: Cross multiply
   2,005.69x = 3,007.42 × 618.64
4. Step 4: Simplify right side
   2,005.69x = 1,860,510.31
5. Step 5: Solve for x
   x = 1,860,510.31/2,005.69
6. Step 6: Final answer
   x = 927.62