Finding the Fourth Proportional to 2,557.79, 3,836.73 and 802.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,557.79 : 3,836.73 = 802.76 : x
2. Step 2: Convert to fraction form
   2,557.79/3,836.73 = 802.76/x
3. Step 3: Cross multiply
   2,557.79x = 3,836.73 × 802.76
4. Step 4: Simplify right side
   2,557.79x = 3,079,973.37
5. Step 5: Solve for x
   x = 3,079,973.37/2,557.79
6. Step 6: Final answer
   x = 1,204.15