Finding the Fourth Proportional to 13,851.98, 19,116.06 and 7,564.40

Step by Step Solution

1. Step 1: Write the proportion equation
   13,851.98 : 19,116.06 = 7,564.40 : x
2. Step 2: Convert to fraction form
   13,851.98/19,116.06 = 7,564.40/x
3. Step 3: Cross multiply
   13,851.98x = 19,116.06 × 7,564.40
4. Step 4: Simplify right side
   13,851.98x = 144,601,524.26
5. Step 5: Solve for x
   x = 144,601,524.26/13,851.98
6. Step 6: Final answer
   x = 10,439.05