Finding the Fourth Proportional to 10,578.14, 14,579.55 and 9,225.32

Step by Step Solution

1. Step 1: Write the proportion equation
   10,578.14 : 14,579.55 = 9,225.32 : x
2. Step 2: Convert to fraction form
   10,578.14/14,579.55 = 9,225.32/x
3. Step 3: Cross multiply
   10,578.14x = 14,579.55 × 9,225.32
4. Step 4: Simplify right side
   10,578.14x = 134,500,941.31
5. Step 5: Solve for x
   x = 134,500,941.31/10,578.14
6. Step 6: Final answer
   x = 12,715.00