Finding the Fourth Proportional to 3,902.72, 5,846.51 and 3,466.40

Step by Step Solution

1. Step 1: Write the proportion equation
   3,902.72 : 5,846.51 = 3,466.40 : x
2. Step 2: Convert to fraction form
   3,902.72/5,846.51 = 3,466.40/x
3. Step 3: Cross multiply
   3,902.72x = 5,846.51 × 3,466.40
4. Step 4: Simplify right side
   3,902.72x = 20,266,321.70
5. Step 5: Solve for x
   x = 20,266,321.70/3,902.72
6. Step 6: Final answer
   x = 5,192.88