Finding the Fourth Proportional to 6,593.60, 9,892.71 and 3,822.71

Step by Step Solution

1. Step 1: Write the proportion equation
   6,593.60 : 9,892.71 = 3,822.71 : x
2. Step 2: Convert to fraction form
   6,593.60/9,892.71 = 3,822.71/x
3. Step 3: Cross multiply
   6,593.60x = 9,892.71 × 3,822.71
4. Step 4: Simplify right side
   6,593.60x = 37,816,911.98
5. Step 5: Solve for x
   x = 37,816,911.98/6,593.60
6. Step 6: Final answer
   x = 5,735.39