Finding the Fourth Proportional to 2,019.40, 2,786.78 and 1,180.13

Step by Step Solution

1. Step 1: Write the proportion equation
   2,019.40 : 2,786.78 = 1,180.13 : x
2. Step 2: Convert to fraction form
   2,019.40/2,786.78 = 1,180.13/x
3. Step 3: Cross multiply
   2,019.40x = 2,786.78 × 1,180.13
4. Step 4: Simplify right side
   2,019.40x = 3,288,769.65
5. Step 5: Solve for x
   x = 3,288,769.65/2,019.40
6. Step 6: Final answer
   x = 1,628.59