Finding the Fourth Proportional to 2,180.53, 3,009.10 and 1,185.80

Step by Step Solution

1. Step 1: Write the proportion equation
   2,180.53 : 3,009.10 = 1,185.80 : x
2. Step 2: Convert to fraction form
   2,180.53/3,009.10 = 1,185.80/x
3. Step 3: Cross multiply
   2,180.53x = 3,009.10 × 1,185.80
4. Step 4: Simplify right side
   2,180.53x = 3,568,190.78
5. Step 5: Solve for x
   x = 3,568,190.78/2,180.53
6. Step 6: Final answer
   x = 1,636.39