Finding the Fourth Proportional to 2,002.92, 2,768.34 and 1,765.05

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.92 : 2,768.34 = 1,765.05 : x
2. Step 2: Convert to fraction form
   2,002.92/2,768.34 = 1,765.05/x
3. Step 3: Cross multiply
   2,002.92x = 2,768.34 × 1,765.05
4. Step 4: Simplify right side
   2,002.92x = 4,886,258.52
5. Step 5: Solve for x
   x = 4,886,258.52/2,002.92
6. Step 6: Final answer
   x = 2,439.57