Finding the Fourth Proportional to 2,257.98, 3,385.76 and 796.05

Step by Step Solution

1. Step 1: Write the proportion equation
   2,257.98 : 3,385.76 = 796.05 : x
2. Step 2: Convert to fraction form
   2,257.98/3,385.76 = 796.05/x
3. Step 3: Cross multiply
   2,257.98x = 3,385.76 × 796.05
4. Step 4: Simplify right side
   2,257.98x = 2,695,230.27
5. Step 5: Solve for x
   x = 2,695,230.27/2,257.98
6. Step 6: Final answer
   x = 1,193.65