Finding the Fourth Proportional to 10,857.71, 16,261.05 and 5,293.62

Step by Step Solution

1. Step 1: Write the proportion equation
   10,857.71 : 16,261.05 = 5,293.62 : x
2. Step 2: Convert to fraction form
   10,857.71/16,261.05 = 5,293.62/x
3. Step 3: Cross multiply
   10,857.71x = 16,261.05 × 5,293.62
4. Step 4: Simplify right side
   10,857.71x = 86,079,819.50
5. Step 5: Solve for x
   x = 86,079,819.50/10,857.71
6. Step 6: Final answer
   x = 7,927.99