Finding the Fourth Proportional to 10,106.56, 13,944.72 and 5,914

Step by Step Solution

1. Step 1: Write the proportion equation
   10,106.56 : 13,944.72 = 5,914 : x
2. Step 2: Convert to fraction form
   10,106.56/13,944.72 = 5,914/x
3. Step 3: Cross multiply
   10,106.56x = 13,944.72 × 5,914
4. Step 4: Simplify right side
   10,106.56x = 82,469,074.08
5. Step 5: Solve for x
   x = 82,469,074.08/10,106.56
6. Step 6: Final answer
   x = 8,159.95