Finding the Fourth Proportional to 10,115.82, 13,955.49 and 5,866.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,115.82 : 13,955.49 = 5,866.56 : x
2. Step 2: Convert to fraction form
   10,115.82/13,955.49 = 5,866.56/x
3. Step 3: Cross multiply
   10,115.82x = 13,955.49 × 5,866.56
4. Step 4: Simplify right side
   10,115.82x = 81,870,719.41
5. Step 5: Solve for x
   x = 81,870,719.41/10,115.82
6. Step 6: Final answer
   x = 8,093.33