Finding the Fourth Proportional to 2,567.12, 3,849.72 and 1,106.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,567.12 : 3,849.72 = 1,106.16 : x
2. Step 2: Convert to fraction form
   2,567.12/3,849.72 = 1,106.16/x
3. Step 3: Cross multiply
   2,567.12x = 3,849.72 × 1,106.16
4. Step 4: Simplify right side
   2,567.12x = 4,258,406.28
5. Step 5: Solve for x
   x = 4,258,406.28/2,567.12
6. Step 6: Final answer
   x = 1,658.83