Finding the Fourth Proportional to 10,204.56, 14,081.88 and 5,728.68

Step by Step Solution

1. Step 1: Write the proportion equation
   10,204.56 : 14,081.88 = 5,728.68 : x
2. Step 2: Convert to fraction form
   10,204.56/14,081.88 = 5,728.68/x
3. Step 3: Cross multiply
   10,204.56x = 14,081.88 × 5,728.68
4. Step 4: Simplify right side
   10,204.56x = 80,670,584.32
5. Step 5: Solve for x
   x = 80,670,584.32/10,204.56
6. Step 6: Final answer
   x = 7,905.35