Finding the Fourth Proportional to 2,557.56, 3,836.31 and 802.53

Step by Step Solution

1. Step 1: Write the proportion equation
   2,557.56 : 3,836.31 = 802.53 : x
2. Step 2: Convert to fraction form
   2,557.56/3,836.31 = 802.53/x
3. Step 3: Cross multiply
   2,557.56x = 3,836.31 × 802.53
4. Step 4: Simplify right side
   2,557.56x = 3,078,753.86
5. Step 5: Solve for x
   x = 3,078,753.86/2,557.56
6. Step 6: Final answer
   x = 1,203.79