Finding the Fourth Proportional to 10,523.27, 15,769.86 and 7,728.01

Step by Step Solution

1. Step 1: Write the proportion equation
   10,523.27 : 15,769.86 = 7,728.01 : x
2. Step 2: Convert to fraction form
   10,523.27/15,769.86 = 7,728.01/x
3. Step 3: Cross multiply
   10,523.27x = 15,769.86 × 7,728.01
4. Step 4: Simplify right side
   10,523.27x = 121,869,635.78
5. Step 5: Solve for x
   x = 121,869,635.78/10,523.27
6. Step 6: Final answer
   x = 11,580.97