Finding the Fourth Proportional to 3,983.34, 5,977.31 and 1,642.91

Step by Step Solution

1. Step 1: Write the proportion equation
   3,983.34 : 5,977.31 = 1,642.91 : x
2. Step 2: Convert to fraction form
   3,983.34/5,977.31 = 1,642.91/x
3. Step 3: Cross multiply
   3,983.34x = 5,977.31 × 1,642.91
4. Step 4: Simplify right side
   3,983.34x = 9,820,170.32
5. Step 5: Solve for x
   x = 9,820,170.32/3,983.34
6. Step 6: Final answer
   x = 2,465.31