Finding the Fourth Proportional to 2,557.82, 3,837.16 and 802.48

Step by Step Solution

1. Step 1: Write the proportion equation
   2,557.82 : 3,837.16 = 802.48 : x
2. Step 2: Convert to fraction form
   2,557.82/3,837.16 = 802.48/x
3. Step 3: Cross multiply
   2,557.82x = 3,837.16 × 802.48
4. Step 4: Simplify right side
   2,557.82x = 3,079,255.76
5. Step 5: Solve for x
   x = 3,079,255.76/2,557.82
6. Step 6: Final answer
   x = 1,203.86