Finding the Fourth Proportional to 10,022.04, 13,831.74 and 5,772.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,022.04 : 13,831.74 = 5,772.96 : x
2. Step 2: Convert to fraction form
   10,022.04/13,831.74 = 5,772.96/x
3. Step 3: Cross multiply
   10,022.04x = 13,831.74 × 5,772.96
4. Step 4: Simplify right side
   10,022.04x = 79,850,081.75
5. Step 5: Solve for x
   x = 79,850,081.75/10,022.04
6. Step 6: Final answer
   x = 7,967.45