Finding the Fourth Proportional to 2,764.22, 4,147.06 and 816.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,764.22 : 4,147.06 = 816.42 : x
2. Step 2: Convert to fraction form
   2,764.22/4,147.06 = 816.42/x
3. Step 3: Cross multiply
   2,764.22x = 4,147.06 × 816.42
4. Step 4: Simplify right side
   2,764.22x = 3,385,742.73
5. Step 5: Solve for x
   x = 3,385,742.73/2,764.22
6. Step 6: Final answer
   x = 1,224.85