Finding the Fourth Proportional to 5,172.56, 7,138.16 and 2,814.72

Step by Step Solution

1. Step 1: Write the proportion equation
   5,172.56 : 7,138.16 = 2,814.72 : x
2. Step 2: Convert to fraction form
   5,172.56/7,138.16 = 2,814.72/x
3. Step 3: Cross multiply
   5,172.56x = 7,138.16 × 2,814.72
4. Step 4: Simplify right side
   5,172.56x = 20,091,921.72
5. Step 5: Solve for x
   x = 20,091,921.72/5,172.56
6. Step 6: Final answer
   x = 3,884.33