Finding the Fourth Proportional to 10,203.98, 14,082.04 and 5,727.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,203.98 : 14,082.04 = 5,727.50 : x
2. Step 2: Convert to fraction form
   10,203.98/14,082.04 = 5,727.50/x
3. Step 3: Cross multiply
   10,203.98x = 14,082.04 × 5,727.50
4. Step 4: Simplify right side
   10,203.98x = 80,654,884.10
5. Step 5: Solve for x
   x = 80,654,884.10/10,203.98
6. Step 6: Final answer
   x = 7,904.26