Finding the Fourth Proportional to 2,178.31, 3,006.06 and 1,183.57

Step by Step Solution

1. Step 1: Write the proportion equation
   2,178.31 : 3,006.06 = 1,183.57 : x
2. Step 2: Convert to fraction form
   2,178.31/3,006.06 = 1,183.57/x
3. Step 3: Cross multiply
   2,178.31x = 3,006.06 × 1,183.57
4. Step 4: Simplify right side
   2,178.31x = 3,557,882.43
5. Step 5: Solve for x
   x = 3,557,882.43/2,178.31
6. Step 6: Final answer
   x = 1,633.32