Finding the Fourth Proportional to 10,271.91, 14,174.01 and 5,795.40

Step by Step Solution

1. Step 1: Write the proportion equation
   10,271.91 : 14,174.01 = 5,795.40 : x
2. Step 2: Convert to fraction form
   10,271.91/14,174.01 = 5,795.40/x
3. Step 3: Cross multiply
   10,271.91x = 14,174.01 × 5,795.40
4. Step 4: Simplify right side
   10,271.91x = 82,144,057.55
5. Step 5: Solve for x
   x = 82,144,057.55/10,271.91
6. Step 6: Final answer
   x = 7,996.96