Finding the Fourth Proportional to 10,271.63, 14,174.85 and 5,796.33

Step by Step Solution

1. Step 1: Write the proportion equation
   10,271.63 : 14,174.85 = 5,796.33 : x
2. Step 2: Convert to fraction form
   10,271.63/14,174.85 = 5,796.33/x
3. Step 3: Cross multiply
   10,271.63x = 14,174.85 × 5,796.33
4. Step 4: Simplify right side
   10,271.63x = 82,162,044.28
5. Step 5: Solve for x
   x = 82,162,044.28/10,271.63
6. Step 6: Final answer
   x = 7,998.93