Finding the Fourth Proportional to 13,852.44, 19,116.27 and 7,564.82

Step by Step Solution

1. Step 1: Write the proportion equation
   13,852.44 : 19,116.27 = 7,564.82 : x
2. Step 2: Convert to fraction form
   13,852.44/19,116.27 = 7,564.82/x
3. Step 3: Cross multiply
   13,852.44x = 19,116.27 × 7,564.82
4. Step 4: Simplify right side
   13,852.44x = 144,611,046.04
5. Step 5: Solve for x
   x = 144,611,046.04/13,852.44
6. Step 6: Final answer
   x = 10,439.39