Finding the Fourth Proportional to 4,665.16, 6,438.72 and 3,172.06

Step by Step Solution

1. Step 1: Write the proportion equation
   4,665.16 : 6,438.72 = 3,172.06 : x
2. Step 2: Convert to fraction form
   4,665.16/6,438.72 = 3,172.06/x
3. Step 3: Cross multiply
   4,665.16x = 6,438.72 × 3,172.06
4. Step 4: Simplify right side
   4,665.16x = 20,424,006.16
5. Step 5: Solve for x
   x = 20,424,006.16/4,665.16
6. Step 6: Final answer
   x = 4,377.99