Finding the Fourth Proportional to 13,851.88, 19,115.49 and 7,564.25

Step by Step Solution

1. Step 1: Write the proportion equation
   13,851.88 : 19,115.49 = 7,564.25 : x
2. Step 2: Convert to fraction form
   13,851.88/19,115.49 = 7,564.25/x
3. Step 3: Cross multiply
   13,851.88x = 19,115.49 × 7,564.25
4. Step 4: Simplify right side
   13,851.88x = 144,594,421.39
5. Step 5: Solve for x
   x = 144,594,421.39/13,851.88
6. Step 6: Final answer
   x = 10,438.62