Finding the Fourth Proportional to 10,022.27, 13,831.79 and 5,773.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,022.27 : 13,831.79 = 5,773.50 : x
2. Step 2: Convert to fraction form
   10,022.27/13,831.79 = 5,773.50/x
3. Step 3: Cross multiply
   10,022.27x = 13,831.79 × 5,773.50
4. Step 4: Simplify right side
   10,022.27x = 79,857,810.70
5. Step 5: Solve for x
   x = 79,857,810.70/10,022.27
6. Step 6: Final answer
   x = 7,968.04