Finding the Fourth Proportional to 10,204.35, 14,081.78 and 5,727.99

Step by Step Solution

1. Step 1: Write the proportion equation
   10,204.35 : 14,081.78 = 5,727.99 : x
2. Step 2: Convert to fraction form
   10,204.35/14,081.78 = 5,727.99/x
3. Step 3: Cross multiply
   10,204.35x = 14,081.78 × 5,727.99
4. Step 4: Simplify right side
   10,204.35x = 80,660,266.38
5. Step 5: Solve for x
   x = 80,660,266.38/10,204.35
6. Step 6: Final answer
   x = 7,904.50