Finding the Fourth Proportional to 11,453.20, 15,814.55 and 7,628.57

Step by Step Solution

1. Step 1: Write the proportion equation
   11,453.20 : 15,814.55 = 7,628.57 : x
2. Step 2: Convert to fraction form
   11,453.20/15,814.55 = 7,628.57/x
3. Step 3: Cross multiply
   11,453.20x = 15,814.55 × 7,628.57
4. Step 4: Simplify right side
   11,453.20x = 120,642,401.69
5. Step 5: Solve for x
   x = 120,642,401.69/11,453.20
6. Step 6: Final answer
   x = 10,533.51