Finding the Fourth Proportional to 10,540.82, 15,809.60 and 5,785.31

Step by Step Solution

1. Step 1: Write the proportion equation
   10,540.82 : 15,809.60 = 5,785.31 : x
2. Step 2: Convert to fraction form
   10,540.82/15,809.60 = 5,785.31/x
3. Step 3: Cross multiply
   10,540.82x = 15,809.60 × 5,785.31
4. Step 4: Simplify right side
   10,540.82x = 91,463,329.00
5. Step 5: Solve for x
   x = 91,463,329.00/10,540.82
6. Step 6: Final answer
   x = 8,677.06