Finding the Fourth Proportional to 10,550.10, 14,558.66 and 5,769.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,550.10 : 14,558.66 = 5,769.96 : x
2. Step 2: Convert to fraction form
   10,550.10/14,558.66 = 5,769.96/x
3. Step 3: Cross multiply
   10,550.10x = 14,558.66 × 5,769.96
4. Step 4: Simplify right side
   10,550.10x = 84,002,885.85
5. Step 5: Solve for x
   x = 84,002,885.85/10,550.10
6. Step 6: Final answer
   x = 7,962.28