Finding the Fourth Proportional to 10,204.72, 14,080.73 and 5,728.66

Step by Step Solution

1. Step 1: Write the proportion equation
   10,204.72 : 14,080.73 = 5,728.66 : x
2. Step 2: Convert to fraction form
   10,204.72/14,080.73 = 5,728.66/x
3. Step 3: Cross multiply
   10,204.72x = 14,080.73 × 5,728.66
4. Step 4: Simplify right side
   10,204.72x = 80,663,714.72
5. Step 5: Solve for x
   x = 80,663,714.72/10,204.72
6. Step 6: Final answer
   x = 7,904.55