Finding the Fourth Proportional to 13,851, 19,114.27 and 7,563.37

Step by Step Solution

1. Step 1: Write the proportion equation
   13,851 : 19,114.27 = 7,563.37 : x
2. Step 2: Convert to fraction form
   13,851/19,114.27 = 7,563.37/x
3. Step 3: Cross multiply
   13,851x = 19,114.27 × 7,563.37
4. Step 4: Simplify right side
   13,851x = 144,568,296.29
5. Step 5: Solve for x
   x = 144,568,296.29/13,851
6. Step 6: Final answer
   x = 10,437.39