Finding the Fourth Proportional to 13,856.50, 19,122.78 and 7,888.42

Step by Step Solution

1. Step 1: Write the proportion equation
   13,856.50 : 19,122.78 = 7,888.42 : x
2. Step 2: Convert to fraction form
   13,856.50/19,122.78 = 7,888.42/x
3. Step 3: Cross multiply
   13,856.50x = 19,122.78 × 7,888.42
4. Step 4: Simplify right side
   13,856.50x = 150,848,520.21
5. Step 5: Solve for x
   x = 150,848,520.21/13,856.50
6. Step 6: Final answer
   x = 10,886.48