Finding the Fourth Proportional to 10,826.56, 16,229.04 and 5,193.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,826.56 : 16,229.04 = 5,193.82 : x
2. Step 2: Convert to fraction form
   10,826.56/16,229.04 = 5,193.82/x
3. Step 3: Cross multiply
   10,826.56x = 16,229.04 × 5,193.82
4. Step 4: Simplify right side
   10,826.56x = 84,290,712.53
5. Step 5: Solve for x
   x = 84,290,712.53/10,826.56
6. Step 6: Final answer
   x = 7,785.55