Finding the Fourth Proportional to 10,636.38, 14,678.56 and 5,856.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,636.38 : 14,678.56 = 5,856.82 : x
2. Step 2: Convert to fraction form
   10,636.38/14,678.56 = 5,856.82/x
3. Step 3: Cross multiply
   10,636.38x = 14,678.56 × 5,856.82
4. Step 4: Simplify right side
   10,636.38x = 85,969,702.13
5. Step 5: Solve for x
   x = 85,969,702.13/10,636.38
6. Step 6: Final answer
   x = 8,082.61