Finding the Fourth Proportional to 3,820.56, 5,272.81 and 2,142.42

Step by Step Solution

1. Step 1: Write the proportion equation
   3,820.56 : 5,272.81 = 2,142.42 : x
2. Step 2: Convert to fraction form
   3,820.56/5,272.81 = 2,142.42/x
3. Step 3: Cross multiply
   3,820.56x = 5,272.81 × 2,142.42
4. Step 4: Simplify right side
   3,820.56x = 11,296,573.60
5. Step 5: Solve for x
   x = 11,296,573.60/3,820.56
6. Step 6: Final answer
   x = 2,956.78