Finding the Fourth Proportional to 2,557.96, 3,837.34 and 802.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,557.96 : 3,837.34 = 802.82 : x
2. Step 2: Convert to fraction form
   2,557.96/3,837.34 = 802.82/x
3. Step 3: Cross multiply
   2,557.96x = 3,837.34 × 802.82
4. Step 4: Simplify right side
   2,557.96x = 3,080,693.30
5. Step 5: Solve for x
   x = 3,080,693.30/2,557.96
6. Step 6: Final answer
   x = 1,204.36