Finding the Fourth Proportional to 3,878.42, 5,773.76 and 3,855.35

Step by Step Solution

1. Step 1: Write the proportion equation
   3,878.42 : 5,773.76 = 3,855.35 : x
2. Step 2: Convert to fraction form
   3,878.42/5,773.76 = 3,855.35/x
3. Step 3: Cross multiply
   3,878.42x = 5,773.76 × 3,855.35
4. Step 4: Simplify right side
   3,878.42x = 22,259,875.23
5. Step 5: Solve for x
   x = 22,259,875.23/3,878.42
6. Step 6: Final answer
   x = 5,739.43