Finding the Fourth Proportional to 10,271.78, 14,174.25 and 5,796.62

Step by Step Solution

1. Step 1: Write the proportion equation
   10,271.78 : 14,174.25 = 5,796.62 : x
2. Step 2: Convert to fraction form
   10,271.78/14,174.25 = 5,796.62/x
3. Step 3: Cross multiply
   10,271.78x = 14,174.25 × 5,796.62
4. Step 4: Simplify right side
   10,271.78x = 82,162,741.04
5. Step 5: Solve for x
   x = 82,162,741.04/10,271.78
6. Step 6: Final answer
   x = 7,998.88