Finding the Fourth Proportional to 10,271.57, 14,174.75 and 5,795.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,271.57 : 14,174.75 = 5,795.30 : x
2. Step 2: Convert to fraction form
   10,271.57/14,174.75 = 5,795.30/x
3. Step 3: Cross multiply
   10,271.57x = 14,174.75 × 5,795.30
4. Step 4: Simplify right side
   10,271.57x = 82,146,928.68
5. Step 5: Solve for x
   x = 82,146,928.68/10,271.57
6. Step 6: Final answer
   x = 7,997.51