Finding the Fourth Proportional to 10,861.76, 16,287.16 and 5,306.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,861.76 : 16,287.16 = 5,306.78 : x
2. Step 2: Convert to fraction form
   10,861.76/16,287.16 = 5,306.78/x
3. Step 3: Cross multiply
   10,861.76x = 16,287.16 × 5,306.78
4. Step 4: Simplify right side
   10,861.76x = 86,432,374.94
5. Step 5: Solve for x
   x = 86,432,374.94/10,861.76
6. Step 6: Final answer
   x = 7,957.49