Finding the Fourth Proportional to 10,120.50, 13,968.18 and 5,928.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,120.50 : 13,968.18 = 5,928.75 : x
2. Step 2: Convert to fraction form
   10,120.50/13,968.18 = 5,928.75/x
3. Step 3: Cross multiply
   10,120.50x = 13,968.18 × 5,928.75
4. Step 4: Simplify right side
   10,120.50x = 82,813,847.18
5. Step 5: Solve for x
   x = 82,813,847.18/10,120.50
6. Step 6: Final answer
   x = 8,182.78