Finding the Fourth Proportional to 4,002.46, 5,989.16 and 2,894.09

Step by Step Solution

1. Step 1: Write the proportion equation
   4,002.46 : 5,989.16 = 2,894.09 : x
2. Step 2: Convert to fraction form
   4,002.46/5,989.16 = 2,894.09/x
3. Step 3: Cross multiply
   4,002.46x = 5,989.16 × 2,894.09
4. Step 4: Simplify right side
   4,002.46x = 17,333,190.27
5. Step 5: Solve for x
   x = 17,333,190.27/4,002.46
6. Step 6: Final answer
   x = 4,330.64