Finding the Fourth Proportional to 3,855.74, 5,750.46 and 3,662.55

Step by Step Solution

1. Step 1: Write the proportion equation
   3,855.74 : 5,750.46 = 3,662.55 : x
2. Step 2: Convert to fraction form
   3,855.74/5,750.46 = 3,662.55/x
3. Step 3: Cross multiply
   3,855.74x = 5,750.46 × 3,662.55
4. Step 4: Simplify right side
   3,855.74x = 21,061,347.27
5. Step 5: Solve for x
   x = 21,061,347.27/3,855.74
6. Step 6: Final answer
   x = 5,462.34