Finding the Fourth Proportional to 10,906.34, 16,364.37 and 5,711

Step by Step Solution

1. Step 1: Write the proportion equation
   10,906.34 : 16,364.37 = 5,711 : x
2. Step 2: Convert to fraction form
   10,906.34/16,364.37 = 5,711/x
3. Step 3: Cross multiply
   10,906.34x = 16,364.37 × 5,711
4. Step 4: Simplify right side
   10,906.34x = 93,456,917.07
5. Step 5: Solve for x
   x = 93,456,917.07/10,906.34
6. Step 6: Final answer
   x = 8,569.04