Finding the Fourth Proportional to 10,271.48, 14,174.66 and 5,555.77

Step by Step Solution

1. Step 1: Write the proportion equation
   10,271.48 : 14,174.66 = 5,555.77 : x
2. Step 2: Convert to fraction form
   10,271.48/14,174.66 = 5,555.77/x
3. Step 3: Cross multiply
   10,271.48x = 14,174.66 × 5,555.77
4. Step 4: Simplify right side
   10,271.48x = 78,751,087.57
5. Step 5: Solve for x
   x = 78,751,087.57/10,271.48
6. Step 6: Final answer
   x = 7,666.96