Finding the Fourth Proportional to 2,796.78, 4,194.20 and 821.89

Step by Step Solution

1. Step 1: Write the proportion equation
   2,796.78 : 4,194.20 = 821.89 : x
2. Step 2: Convert to fraction form
   2,796.78/4,194.20 = 821.89/x
3. Step 3: Cross multiply
   2,796.78x = 4,194.20 × 821.89
4. Step 4: Simplify right side
   2,796.78x = 3,447,172.50
5. Step 5: Solve for x
   x = 3,447,172.50/2,796.78
6. Step 6: Final answer
   x = 1,232.55