Finding the Fourth Proportional to 10,826.20, 16,238.76 and 6,922

Step by Step Solution

1. Step 1: Write the proportion equation
   10,826.20 : 16,238.76 = 6,922 : x
2. Step 2: Convert to fraction form
   10,826.20/16,238.76 = 6,922/x
3. Step 3: Cross multiply
   10,826.20x = 16,238.76 × 6,922
4. Step 4: Simplify right side
   10,826.20x = 112,404,696.72
5. Step 5: Solve for x
   x = 112,404,696.72/10,826.20
6. Step 6: Final answer
   x = 10,382.65