Finding the Fourth Proportional to 10,271.14, 14,174.16 and 5,555.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,271.14 : 14,174.16 = 5,555.42 : x
2. Step 2: Convert to fraction form
   10,271.14/14,174.16 = 5,555.42/x
3. Step 3: Cross multiply
   10,271.14x = 14,174.16 × 5,555.42
4. Step 4: Simplify right side
   10,271.14x = 78,743,411.95
5. Step 5: Solve for x
   x = 78,743,411.95/10,271.14
6. Step 6: Final answer
   x = 7,666.47