Finding the Fourth Proportional to 2,567.20, 3,848.16 and 1,105.12

Step by Step Solution

1. Step 1: Write the proportion equation
   2,567.20 : 3,848.16 = 1,105.12 : x
2. Step 2: Convert to fraction form
   2,567.20/3,848.16 = 1,105.12/x
3. Step 3: Cross multiply
   2,567.20x = 3,848.16 × 1,105.12
4. Step 4: Simplify right side
   2,567.20x = 4,252,678.58
5. Step 5: Solve for x
   x = 4,252,678.58/2,567.20
6. Step 6: Final answer
   x = 1,656.54