Finding the Fourth Proportional to 2,442.43, 3,662.74 and 776.37

Step by Step Solution

1. Step 1: Write the proportion equation
   2,442.43 : 3,662.74 = 776.37 : x
2. Step 2: Convert to fraction form
   2,442.43/3,662.74 = 776.37/x
3. Step 3: Cross multiply
   2,442.43x = 3,662.74 × 776.37
4. Step 4: Simplify right side
   2,442.43x = 2,843,641.45
5. Step 5: Solve for x
   x = 2,843,641.45/2,442.43
6. Step 6: Final answer
   x = 1,164.27