Finding the Fourth Proportional to 10,271.81, 14,175.20 and 5,556.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,271.81 : 14,175.20 = 5,556.20 : x
2. Step 2: Convert to fraction form
   10,271.81/14,175.20 = 5,556.20/x
3. Step 3: Cross multiply
   10,271.81x = 14,175.20 × 5,556.20
4. Step 4: Simplify right side
   10,271.81x = 78,760,189.25
5. Step 5: Solve for x
   x = 78,760,189.25/10,271.81
6. Step 6: Final answer
   x = 7,667.60