Finding the Fourth Proportional to 3,978.25, 5,971.02 and 2,031.82

Step by Step Solution

1. Step 1: Write the proportion equation
   3,978.25 : 5,971.02 = 2,031.82 : x
2. Step 2: Convert to fraction form
   3,978.25/5,971.02 = 2,031.82/x
3. Step 3: Cross multiply
   3,978.25x = 5,971.02 × 2,031.82
4. Step 4: Simplify right side
   3,978.25x = 12,132,015.31
5. Step 5: Solve for x
   x = 12,132,015.31/3,978.25
6. Step 6: Final answer
   x = 3,049.59