Finding the Fourth Proportional to 2,180.64, 3,009.33 and 1,185.96

Step by Step Solution

1. Step 1: Write the proportion equation
   2,180.64 : 3,009.33 = 1,185.96 : x
2. Step 2: Convert to fraction form
   2,180.64/3,009.33 = 1,185.96/x
3. Step 3: Cross multiply
   2,180.64x = 3,009.33 × 1,185.96
4. Step 4: Simplify right side
   2,180.64x = 3,568,945.01
5. Step 5: Solve for x
   x = 3,568,945.01/2,180.64
6. Step 6: Final answer
   x = 1,636.65