Finding the Fourth Proportional to 2,183.76, 3,013.64 and 1,189.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,183.76 : 3,013.64 = 1,189.10 : x
2. Step 2: Convert to fraction form
   2,183.76/3,013.64 = 1,189.10/x
3. Step 3: Cross multiply
   2,183.76x = 3,013.64 × 1,189.10
4. Step 4: Simplify right side
   2,183.76x = 3,583,498.31
5. Step 5: Solve for x
   x = 3,583,498.31/2,183.76
6. Step 6: Final answer
   x = 1,640.98