Finding the Fourth Proportional to 10,203.84, 14,081.12 and 5,727.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,203.84 : 14,081.12 = 5,727.60 : x
2. Step 2: Convert to fraction form
   10,203.84/14,081.12 = 5,727.60/x
3. Step 3: Cross multiply
   10,203.84x = 14,081.12 × 5,727.60
4. Step 4: Simplify right side
   10,203.84x = 80,651,022.91
5. Step 5: Solve for x
   x = 80,651,022.91/10,203.84
6. Step 6: Final answer
   x = 7,903.99