Finding the Fourth Proportional to 8,078.47, 11,141.60 and 5,696.37

Step by Step Solution

1. Step 1: Write the proportion equation
   8,078.47 : 11,141.60 = 5,696.37 : x
2. Step 2: Convert to fraction form
   8,078.47/11,141.60 = 5,696.37/x
3. Step 3: Cross multiply
   8,078.47x = 11,141.60 × 5,696.37
4. Step 4: Simplify right side
   8,078.47x = 63,466,647.51
5. Step 5: Solve for x
   x = 63,466,647.51/8,078.47
6. Step 6: Final answer
   x = 7,856.27