Finding the Fourth Proportional to 11,196.14, 15,434.28 and 7,828.47

Step by Step Solution

1. Step 1: Write the proportion equation
   11,196.14 : 15,434.28 = 7,828.47 : x
2. Step 2: Convert to fraction form
   11,196.14/15,434.28 = 7,828.47/x
3. Step 3: Cross multiply
   11,196.14x = 15,434.28 × 7,828.47
4. Step 4: Simplify right side
   11,196.14x = 120,826,797.95
5. Step 5: Solve for x
   x = 120,826,797.95/11,196.14
6. Step 6: Final answer
   x = 10,791.83