Finding the Fourth Proportional to 9,142.05, 13,713.59 and 2,567.72

Step by Step Solution

1. Step 1: Write the proportion equation
   9,142.05 : 13,713.59 = 2,567.72 : x
2. Step 2: Convert to fraction form
   9,142.05/13,713.59 = 2,567.72/x
3. Step 3: Cross multiply
   9,142.05x = 13,713.59 × 2,567.72
4. Step 4: Simplify right side
   9,142.05x = 35,212,680.76
5. Step 5: Solve for x
   x = 35,212,680.76/9,142.05
6. Step 6: Final answer
   x = 3,851.73