Finding the Fourth Proportional to 6,214.71, 8,564.89 and 5,820.14

Step by Step Solution

1. Step 1: Write the proportion equation
   6,214.71 : 8,564.89 = 5,820.14 : x
2. Step 2: Convert to fraction form
   6,214.71/8,564.89 = 5,820.14/x
3. Step 3: Cross multiply
   6,214.71x = 8,564.89 × 5,820.14
4. Step 4: Simplify right side
   6,214.71x = 49,848,786.96
5. Step 5: Solve for x
   x = 49,848,786.96/6,214.71
6. Step 6: Final answer
   x = 8,021.10