Finding the Fourth Proportional to 3,892.50, 5,839.38 and 1,296.05

Step by Step Solution

1. Step 1: Write the proportion equation
   3,892.50 : 5,839.38 = 1,296.05 : x
2. Step 2: Convert to fraction form
   3,892.50/5,839.38 = 1,296.05/x
3. Step 3: Cross multiply
   3,892.50x = 5,839.38 × 1,296.05
4. Step 4: Simplify right side
   3,892.50x = 7,568,099.25
5. Step 5: Solve for x
   x = 7,568,099.25/3,892.50
6. Step 6: Final answer
   x = 1,944.28