Finding the Fourth Proportional to 2,162.78, 3,244.46 and 776.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,162.78 : 3,244.46 = 776.50 : x
2. Step 2: Convert to fraction form
   2,162.78/3,244.46 = 776.50/x
3. Step 3: Cross multiply
   2,162.78x = 3,244.46 × 776.50
4. Step 4: Simplify right side
   2,162.78x = 2,519,311.20
5. Step 5: Solve for x
   x = 2,519,311.20/2,162.78
6. Step 6: Final answer
   x = 1,164.85