Finding the Fourth Proportional to 5,814.91, 8,020.51 and 3,824.83

Step by Step Solution

1. Step 1: Write the proportion equation
   5,814.91 : 8,020.51 = 3,824.83 : x
2. Step 2: Convert to fraction form
   5,814.91/8,020.51 = 3,824.83/x
3. Step 3: Cross multiply
   5,814.91x = 8,020.51 × 3,824.83
4. Step 4: Simplify right side
   5,814.91x = 30,677,087.26
5. Step 5: Solve for x
   x = 30,677,087.26/5,814.91
6. Step 6: Final answer
   x = 5,275.59