Finding the Fourth Proportional to 2,005.82, 3,007.61 and 618.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,005.82 : 3,007.61 = 618.76 : x
2. Step 2: Convert to fraction form
   2,005.82/3,007.61 = 618.76/x
3. Step 3: Cross multiply
   2,005.82x = 3,007.61 × 618.76
4. Step 4: Simplify right side
   2,005.82x = 1,860,978.15
5. Step 5: Solve for x
   x = 1,860,978.15/2,005.82
6. Step 6: Final answer
   x = 927.79