Finding the Fourth Proportional to 2,178.17, 3,005.89 and 1,183.46

Step by Step Solution

1. Step 1: Write the proportion equation
   2,178.17 : 3,005.89 = 1,183.46 : x
2. Step 2: Convert to fraction form
   2,178.17/3,005.89 = 1,183.46/x
3. Step 3: Cross multiply
   2,178.17x = 3,005.89 × 1,183.46
4. Step 4: Simplify right side
   2,178.17x = 3,557,356.16
5. Step 5: Solve for x
   x = 3,557,356.16/2,178.17
6. Step 6: Final answer
   x = 1,633.18