Finding the Fourth Proportional to 3,822.12, 5,729.94 and 1,741.40

Step by Step Solution

1. Step 1: Write the proportion equation
   3,822.12 : 5,729.94 = 1,741.40 : x
2. Step 2: Convert to fraction form
   3,822.12/5,729.94 = 1,741.40/x
3. Step 3: Cross multiply
   3,822.12x = 5,729.94 × 1,741.40
4. Step 4: Simplify right side
   3,822.12x = 9,978,117.52
5. Step 5: Solve for x
   x = 9,978,117.52/3,822.12
6. Step 6: Final answer
   x = 2,610.62