Finding the Fourth Proportional to 10,271.56, 14,174.70 and 5,796.77

Step by Step Solution

1. Step 1: Write the proportion equation
   10,271.56 : 14,174.70 = 5,796.77 : x
2. Step 2: Convert to fraction form
   10,271.56/14,174.70 = 5,796.77/x
3. Step 3: Cross multiply
   10,271.56x = 14,174.70 × 5,796.77
4. Step 4: Simplify right side
   10,271.56x = 82,167,475.72
5. Step 5: Solve for x
   x = 82,167,475.72/10,271.56
6. Step 6: Final answer
   x = 7,999.51