Finding the Fourth Proportional to 2,069.16, 2,855.36 and 1,185.05

Step by Step Solution

1. Step 1: Write the proportion equation
   2,069.16 : 2,855.36 = 1,185.05 : x
2. Step 2: Convert to fraction form
   2,069.16/2,855.36 = 1,185.05/x
3. Step 3: Cross multiply
   2,069.16x = 2,855.36 × 1,185.05
4. Step 4: Simplify right side
   2,069.16x = 3,383,730.09
5. Step 5: Solve for x
   x = 3,383,730.09/2,069.16
6. Step 6: Final answer
   x = 1,635.32