Finding the Fourth Proportional to 2,005.22, 3,013.50 and 1,183.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,005.22 : 3,013.50 = 1,183.88 : x
2. Step 2: Convert to fraction form
   2,005.22/3,013.50 = 1,183.88/x
3. Step 3: Cross multiply
   2,005.22x = 3,013.50 × 1,183.88
4. Step 4: Simplify right side
   2,005.22x = 3,567,622.38
5. Step 5: Solve for x
   x = 3,567,622.38/2,005.22
6. Step 6: Final answer
   x = 1,779.17