Finding the Fourth Proportional to 5,711.30, 7,872.17 and 3,822.21

Step by Step Solution

1. Step 1: Write the proportion equation
   5,711.30 : 7,872.17 = 3,822.21 : x
2. Step 2: Convert to fraction form
   5,711.30/7,872.17 = 3,822.21/x
3. Step 3: Cross multiply
   5,711.30x = 7,872.17 × 3,822.21
4. Step 4: Simplify right side
   5,711.30x = 30,089,067.78
5. Step 5: Solve for x
   x = 30,089,067.78/5,711.30
6. Step 6: Final answer
   x = 5,268.34