Finding the Fourth Proportional to 10,728.28, 16,097.89 and 5,186.37

Step by Step Solution

1. Step 1: Write the proportion equation
   10,728.28 : 16,097.89 = 5,186.37 : x
2. Step 2: Convert to fraction form
   10,728.28/16,097.89 = 5,186.37/x
3. Step 3: Cross multiply
   10,728.28x = 16,097.89 × 5,186.37
4. Step 4: Simplify right side
   10,728.28x = 83,489,613.76
5. Step 5: Solve for x
   x = 83,489,613.76/10,728.28
6. Step 6: Final answer
   x = 7,782.20