Finding the Fourth Proportional to 5,814.41, 8,019.82 and 3,824.33

Step by Step Solution

1. Step 1: Write the proportion equation
   5,814.41 : 8,019.82 = 3,824.33 : x
2. Step 2: Convert to fraction form
   5,814.41/8,019.82 = 3,824.33/x
3. Step 3: Cross multiply
   5,814.41x = 8,019.82 × 3,824.33
4. Step 4: Simplify right side
   5,814.41x = 30,670,438.22
5. Step 5: Solve for x
   x = 30,670,438.22/5,814.41
6. Step 6: Final answer
   x = 5,274.90