Finding the Fourth Proportional to 2,180.50, 3,009.16 and 1,185.85

Step by Step Solution

1. Step 1: Write the proportion equation
   2,180.50 : 3,009.16 = 1,185.85 : x
2. Step 2: Convert to fraction form
   2,180.50/3,009.16 = 1,185.85/x
3. Step 3: Cross multiply
   2,180.50x = 3,009.16 × 1,185.85
4. Step 4: Simplify right side
   2,180.50x = 3,568,412.39
5. Step 5: Solve for x
   x = 3,568,412.39/2,180.50
6. Step 6: Final answer
   x = 1,636.51