Finding the Fourth Proportional to 3,494.64, 4,822.72 and 2,002.84

Step by Step Solution

1. Step 1: Write the proportion equation
   3,494.64 : 4,822.72 = 2,002.84 : x
2. Step 2: Convert to fraction form
   3,494.64/4,822.72 = 2,002.84/x
3. Step 3: Cross multiply
   3,494.64x = 4,822.72 × 2,002.84
4. Step 4: Simplify right side
   3,494.64x = 9,659,157.85
5. Step 5: Solve for x
   x = 9,659,157.85/3,494.64
6. Step 6: Final answer
   x = 2,763.99