Finding the Fourth Proportional to 10,636.80, 14,678.91 and 5,857.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,636.80 : 14,678.91 = 5,857.30 : x
2. Step 2: Convert to fraction form
   10,636.80/14,678.91 = 5,857.30/x
3. Step 3: Cross multiply
   10,636.80x = 14,678.91 × 5,857.30
4. Step 4: Simplify right side
   10,636.80x = 85,978,779.54
5. Step 5: Solve for x
   x = 85,978,779.54/10,636.80
6. Step 6: Final answer
   x = 8,083.14