Finding the Fourth Proportional to 10,078.28, 13,906.74 and 5,601.32

Step by Step Solution

1. Step 1: Write the proportion equation
   10,078.28 : 13,906.74 = 5,601.32 : x
2. Step 2: Convert to fraction form
   10,078.28/13,906.74 = 5,601.32/x
3. Step 3: Cross multiply
   10,078.28x = 13,906.74 × 5,601.32
4. Step 4: Simplify right side
   10,078.28x = 77,896,100.90
5. Step 5: Solve for x
   x = 77,896,100.90/10,078.28
6. Step 6: Final answer
   x = 7,729.11