Finding the Fourth Proportional to 2,770.96, 4,157.52 and 823.18

Step by Step Solution

1. Step 1: Write the proportion equation
   2,770.96 : 4,157.52 = 823.18 : x
2. Step 2: Convert to fraction form
   2,770.96/4,157.52 = 823.18/x
3. Step 3: Cross multiply
   2,770.96x = 4,157.52 × 823.18
4. Step 4: Simplify right side
   2,770.96x = 3,422,387.31
5. Step 5: Solve for x
   x = 3,422,387.31/2,770.96
6. Step 6: Final answer
   x = 1,235.09