Finding the Fourth Proportional to 10,926.25, 15,078.24 and 5,958.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,926.25 : 15,078.24 = 5,958.25 : x
2. Step 2: Convert to fraction form
   10,926.25/15,078.24 = 5,958.25/x
3. Step 3: Cross multiply
   10,926.25x = 15,078.24 × 5,958.25
4. Step 4: Simplify right side
   10,926.25x = 89,839,923.48
5. Step 5: Solve for x
   x = 89,839,923.48/10,926.25
6. Step 6: Final answer
   x = 8,222.39