Finding the Fourth Proportional to 10,105.50, 13,945.59 and 5,914.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,105.50 : 13,945.59 = 5,914.56 : x
2. Step 2: Convert to fraction form
   10,105.50/13,945.59 = 5,914.56/x
3. Step 3: Cross multiply
   10,105.50x = 13,945.59 × 5,914.56
4. Step 4: Simplify right side
   10,105.50x = 82,482,028.79
5. Step 5: Solve for x
   x = 82,482,028.79/10,105.50
6. Step 6: Final answer
   x = 8,162.09