Finding the Fourth Proportional to 2,829.47, 3,906.61 and 2,165.15

Step by Step Solution

1. Step 1: Write the proportion equation
   2,829.47 : 3,906.61 = 2,165.15 : x
2. Step 2: Convert to fraction form
   2,829.47/3,906.61 = 2,165.15/x
3. Step 3: Cross multiply
   2,829.47x = 3,906.61 × 2,165.15
4. Step 4: Simplify right side
   2,829.47x = 8,458,401.00
5. Step 5: Solve for x
   x = 8,458,401.00/2,829.47
6. Step 6: Final answer
   x = 2,989.40