Finding the Fourth Proportional to 10,109.43, 13,950.83 and 5,633.09

Step by Step Solution

1. Step 1: Write the proportion equation
   10,109.43 : 13,950.83 = 5,633.09 : x
2. Step 2: Convert to fraction form
   10,109.43/13,950.83 = 5,633.09/x
3. Step 3: Cross multiply
   10,109.43x = 13,950.83 × 5,633.09
4. Step 4: Simplify right side
   10,109.43x = 78,586,183.05
5. Step 5: Solve for x
   x = 78,586,183.05/10,109.43
6. Step 6: Final answer
   x = 7,773.55