Finding the Fourth Proportional to 5,214.83, 7,817.57 and 3,896.96

Step by Step Solution

1. Step 1: Write the proportion equation
   5,214.83 : 7,817.57 = 3,896.96 : x
2. Step 2: Convert to fraction form
   5,214.83/7,817.57 = 3,896.96/x
3. Step 3: Cross multiply
   5,214.83x = 7,817.57 × 3,896.96
4. Step 4: Simplify right side
   5,214.83x = 30,464,738.10
5. Step 5: Solve for x
   x = 30,464,738.10/5,214.83
6. Step 6: Final answer
   x = 5,841.94