Finding the Fourth Proportional to 10,022.75, 13,831.59 and 5,546.39

Step by Step Solution

1. Step 1: Write the proportion equation
   10,022.75 : 13,831.59 = 5,546.39 : x
2. Step 2: Convert to fraction form
   10,022.75/13,831.59 = 5,546.39/x
3. Step 3: Cross multiply
   10,022.75x = 13,831.59 × 5,546.39
4. Step 4: Simplify right side
   10,022.75x = 76,715,344.10
5. Step 5: Solve for x
   x = 76,715,344.10/10,022.75
6. Step 6: Final answer
   x = 7,654.12