Finding the Fourth Proportional to 2,005.67, 3,009.72 and 1,185.55

Step by Step Solution

1. Step 1: Write the proportion equation
   2,005.67 : 3,009.72 = 1,185.55 : x
2. Step 2: Convert to fraction form
   2,005.67/3,009.72 = 1,185.55/x
3. Step 3: Cross multiply
   2,005.67x = 3,009.72 × 1,185.55
4. Step 4: Simplify right side
   2,005.67x = 3,568,173.55
5. Step 5: Solve for x
   x = 3,568,173.55/2,005.67
6. Step 6: Final answer
   x = 1,779.04