Finding the Fourth Proportional to 10,112.97, 13,956.37 and 5,636.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,112.97 : 13,956.37 = 5,636.75 : x
2. Step 2: Convert to fraction form
   10,112.97/13,956.37 = 5,636.75/x
3. Step 3: Cross multiply
   10,112.97x = 13,956.37 × 5,636.75
4. Step 4: Simplify right side
   10,112.97x = 78,668,582.69
5. Step 5: Solve for x
   x = 78,668,582.69/10,112.97
6. Step 6: Final answer
   x = 7,778.98