Finding the Fourth Proportional to 2,798.28, 4,196.45 and 823.40

Step by Step Solution

1. Step 1: Write the proportion equation
   2,798.28 : 4,196.45 = 823.40 : x
2. Step 2: Convert to fraction form
   2,798.28/4,196.45 = 823.40/x
3. Step 3: Cross multiply
   2,798.28x = 4,196.45 × 823.40
4. Step 4: Simplify right side
   2,798.28x = 3,455,331.83
5. Step 5: Solve for x
   x = 3,455,331.83/2,798.28
6. Step 6: Final answer
   x = 1,234.81