Finding the Fourth Proportional to 3,984.82, 5,978.24 and 2,342.76

Step by Step Solution

1. Step 1: Write the proportion equation
   3,984.82 : 5,978.24 = 2,342.76 : x
2. Step 2: Convert to fraction form
   3,984.82/5,978.24 = 2,342.76/x
3. Step 3: Cross multiply
   3,984.82x = 5,978.24 × 2,342.76
4. Step 4: Simplify right side
   3,984.82x = 14,005,581.54
5. Step 5: Solve for x
   x = 14,005,581.54/3,984.82
6. Step 6: Final answer
   x = 3,514.73