Finding the Fourth Proportional to 10,559, 14,571.20 and 5,778.94

Step by Step Solution

1. Step 1: Write the proportion equation
   10,559 : 14,571.20 = 5,778.94 : x
2. Step 2: Convert to fraction form
   10,559/14,571.20 = 5,778.94/x
3. Step 3: Cross multiply
   10,559x = 14,571.20 × 5,778.94
4. Step 4: Simplify right side
   10,559x = 84,206,090.53
5. Step 5: Solve for x
   x = 84,206,090.53/10,559
6. Step 6: Final answer
   x = 7,974.82