Finding the Fourth Proportional to 10,204.29, 14,082.72 and 5,727.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,204.29 : 14,082.72 = 5,727.76 : x
2. Step 2: Convert to fraction form
   10,204.29/14,082.72 = 5,727.76/x
3. Step 3: Cross multiply
   10,204.29x = 14,082.72 × 5,727.76
4. Step 4: Simplify right side
   10,204.29x = 80,662,440.31
5. Step 5: Solve for x
   x = 80,662,440.31/10,204.29
6. Step 6: Final answer
   x = 7,904.76