Finding the Fourth Proportional to 13,855.20, 19,120.16 and 7,567.57

Step by Step Solution

1. Step 1: Write the proportion equation
   13,855.20 : 19,120.16 = 7,567.57 : x
2. Step 2: Convert to fraction form
   13,855.20/19,120.16 = 7,567.57/x
3. Step 3: Cross multiply
   13,855.20x = 19,120.16 × 7,567.57
4. Step 4: Simplify right side
   13,855.20x = 144,693,111.37
5. Step 5: Solve for x
   x = 144,693,111.37/13,855.20
6. Step 6: Final answer
   x = 10,443.24