Finding the Fourth Proportional to 10,271.71, 14,174.90 and 5,795.35

Step by Step Solution

1. Step 1: Write the proportion equation
   10,271.71 : 14,174.90 = 5,795.35 : x
2. Step 2: Convert to fraction form
   10,271.71/14,174.90 = 5,795.35/x
3. Step 3: Cross multiply
   10,271.71x = 14,174.90 × 5,795.35
4. Step 4: Simplify right side
   10,271.71x = 82,148,464.03
5. Step 5: Solve for x
   x = 82,148,464.03/10,271.71
6. Step 6: Final answer
   x = 7,997.54