Finding the Fourth Proportional to 2,557.50, 3,836.84 and 802.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,557.50 : 3,836.84 = 802.42 : x
2. Step 2: Convert to fraction form
   2,557.50/3,836.84 = 802.42/x
3. Step 3: Cross multiply
   2,557.50x = 3,836.84 × 802.42
4. Step 4: Simplify right side
   2,557.50x = 3,078,757.15
5. Step 5: Solve for x
   x = 3,078,757.15/2,557.50
6. Step 6: Final answer
   x = 1,203.82