Finding the Fourth Proportional to 13,852.89, 19,116.27 and 7,884.54

Step by Step Solution

1. Step 1: Write the proportion equation
   13,852.89 : 19,116.27 = 7,884.54 : x
2. Step 2: Convert to fraction form
   13,852.89/19,116.27 = 7,884.54/x
3. Step 3: Cross multiply
   13,852.89x = 19,116.27 × 7,884.54
4. Step 4: Simplify right side
   13,852.89x = 150,722,995.47
5. Step 5: Solve for x
   x = 150,722,995.47/13,852.89
6. Step 6: Final answer
   x = 10,880.26