Finding the Fourth Proportional to 10,558.89, 14,571.16 and 5,778.88

Step by Step Solution

1. Step 1: Write the proportion equation
   10,558.89 : 14,571.16 = 5,778.88 : x
2. Step 2: Convert to fraction form
   10,558.89/14,571.16 = 5,778.88/x
3. Step 3: Cross multiply
   10,558.89x = 14,571.16 × 5,778.88
4. Step 4: Simplify right side
   10,558.89x = 84,204,934.23
5. Step 5: Solve for x
   x = 84,204,934.23/10,558.89
6. Step 6: Final answer
   x = 7,974.79