Finding the Fourth Proportional to 10,171.80, 14,034.96 and 5,977.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,171.80 : 14,034.96 = 5,977.80 : x
2. Step 2: Convert to fraction form
   10,171.80/14,034.96 = 5,977.80/x
3. Step 3: Cross multiply
   10,171.80x = 14,034.96 × 5,977.80
4. Step 4: Simplify right side
   10,171.80x = 83,898,183.89
5. Step 5: Solve for x
   x = 83,898,183.89/10,171.80
6. Step 6: Final answer
   x = 8,248.12