Finding the Fourth Proportional to 3,892.96, 5,839.37 and 971.22

Step by Step Solution

1. Step 1: Write the proportion equation
   3,892.96 : 5,839.37 = 971.22 : x
2. Step 2: Convert to fraction form
   3,892.96/5,839.37 = 971.22/x
3. Step 3: Cross multiply
   3,892.96x = 5,839.37 × 971.22
4. Step 4: Simplify right side
   3,892.96x = 5,671,308.08
5. Step 5: Solve for x
   x = 5,671,308.08/3,892.96
6. Step 6: Final answer
   x = 1,456.81