Finding the Fourth Proportional to 13,851.89, 19,116 and 7,564.67

Step by Step Solution

1. Step 1: Write the proportion equation
   13,851.89 : 19,116 = 7,564.67 : x
2. Step 2: Convert to fraction form
   13,851.89/19,116 = 7,564.67/x
3. Step 3: Cross multiply
   13,851.89x = 19,116 × 7,564.67
4. Step 4: Simplify right side
   13,851.89x = 144,606,231.72
5. Step 5: Solve for x
   x = 144,606,231.72/13,851.89
6. Step 6: Final answer
   x = 10,439.46