Finding the Fourth Proportional to 2,552.72, 3,829 and 797.68

Step by Step Solution

1. Step 1: Write the proportion equation
   2,552.72 : 3,829 = 797.68 : x
2. Step 2: Convert to fraction form
   2,552.72/3,829 = 797.68/x
3. Step 3: Cross multiply
   2,552.72x = 3,829 × 797.68
4. Step 4: Simplify right side
   2,552.72x = 3,054,316.72
5. Step 5: Solve for x
   x = 3,054,316.72/2,552.72
6. Step 6: Final answer
   x = 1,196.50