Finding the Fourth Proportional to 11,496.42, 15,866.78 and 7,022.75

Step by Step Solution

1. Step 1: Write the proportion equation
   11,496.42 : 15,866.78 = 7,022.75 : x
2. Step 2: Convert to fraction form
   11,496.42/15,866.78 = 7,022.75/x
3. Step 3: Cross multiply
   11,496.42x = 15,866.78 × 7,022.75
4. Step 4: Simplify right side
   11,496.42x = 111,428,314.80
5. Step 5: Solve for x
   x = 111,428,314.80/11,496.42
6. Step 6: Final answer
   x = 9,692.44