Finding the Fourth Proportional to 10,636.41, 14,678.59 and 5,856.86

Step by Step Solution

1. Step 1: Write the proportion equation
   10,636.41 : 14,678.59 = 5,856.86 : x
2. Step 2: Convert to fraction form
   10,636.41/14,678.59 = 5,856.86/x
3. Step 3: Cross multiply
   10,636.41x = 14,678.59 × 5,856.86
4. Step 4: Simplify right side
   10,636.41x = 85,970,446.63
5. Step 5: Solve for x
   x = 85,970,446.63/10,636.41
6. Step 6: Final answer
   x = 8,082.66