Finding the Fourth Proportional to 2,829.42, 3,899.79 and 2,164.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,829.42 : 3,899.79 = 2,164.82 : x
2. Step 2: Convert to fraction form
   2,829.42/3,899.79 = 2,164.82/x
3. Step 3: Cross multiply
   2,829.42x = 3,899.79 × 2,164.82
4. Step 4: Simplify right side
   2,829.42x = 8,442,323.89
5. Step 5: Solve for x
   x = 8,442,323.89/2,829.42
6. Step 6: Final answer
   x = 2,983.76