Finding the Fourth Proportional to 10,550.57, 14,559.20 and 5,769.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,550.57 : 14,559.20 = 5,769.56 : x
2. Step 2: Convert to fraction form
   10,550.57/14,559.20 = 5,769.56/x
3. Step 3: Cross multiply
   10,550.57x = 14,559.20 × 5,769.56
4. Step 4: Simplify right side
   10,550.57x = 84,000,130.91
5. Step 5: Solve for x
   x = 84,000,130.91/10,550.57
6. Step 6: Final answer
   x = 7,961.67