Finding the Fourth Proportional to 2,276.24, 3,414.72 and 977.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,276.24 : 3,414.72 = 977.72 : x
2. Step 2: Convert to fraction form
   2,276.24/3,414.72 = 977.72/x
3. Step 3: Cross multiply
   2,276.24x = 3,414.72 × 977.72
4. Step 4: Simplify right side
   2,276.24x = 3,338,640.04
5. Step 5: Solve for x
   x = 3,338,640.04/2,276.24
6. Step 6: Final answer
   x = 1,466.73