Finding the Fourth Proportional to 10,838.30, 16,226.46 and 8,077.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,838.30 : 16,226.46 = 8,077.82 : x
2. Step 2: Convert to fraction form
   10,838.30/16,226.46 = 8,077.82/x
3. Step 3: Cross multiply
   10,838.30x = 16,226.46 × 8,077.82
4. Step 4: Simplify right side
   10,838.30x = 131,074,341.98
5. Step 5: Solve for x
   x = 131,074,341.98/10,838.30
6. Step 6: Final answer
   x = 12,093.63