Finding the Fourth Proportional to 3,002.39, 4,146.15 and 2,838.77

Step by Step Solution

1. Step 1: Write the proportion equation
   3,002.39 : 4,146.15 = 2,838.77 : x
2. Step 2: Convert to fraction form
   3,002.39/4,146.15 = 2,838.77/x
3. Step 3: Cross multiply
   3,002.39x = 4,146.15 × 2,838.77
4. Step 4: Simplify right side
   3,002.39x = 11,769,945.50
5. Step 5: Solve for x
   x = 11,769,945.50/3,002.39
6. Step 6: Final answer
   x = 3,920.20