Finding the Fourth Proportional to 2,786.24, 4,180.50 and 1,055

Step by Step Solution

1. Step 1: Write the proportion equation
   2,786.24 : 4,180.50 = 1,055 : x
2. Step 2: Convert to fraction form
   2,786.24/4,180.50 = 1,055/x
3. Step 3: Cross multiply
   2,786.24x = 4,180.50 × 1,055
4. Step 4: Simplify right side
   2,786.24x = 4,410,427.50
5. Step 5: Solve for x
   x = 4,410,427.50/2,786.24
6. Step 6: Final answer
   x = 1,582.93