Finding the Fourth Proportional to 10,022.85, 13,831.43 and 5,546.79

Step by Step Solution

1. Step 1: Write the proportion equation
   10,022.85 : 13,831.43 = 5,546.79 : x
2. Step 2: Convert to fraction form
   10,022.85/13,831.43 = 5,546.79/x
3. Step 3: Cross multiply
   10,022.85x = 13,831.43 × 5,546.79
4. Step 4: Simplify right side
   10,022.85x = 76,720,009.88
5. Step 5: Solve for x
   x = 76,720,009.88/10,022.85
6. Step 6: Final answer
   x = 7,654.51