Finding the Fourth Proportional to 2,076.36, 3,114.42 and 777.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,076.36 : 3,114.42 = 777.72 : x
2. Step 2: Convert to fraction form
   2,076.36/3,114.42 = 777.72/x
3. Step 3: Cross multiply
   2,076.36x = 3,114.42 × 777.72
4. Step 4: Simplify right side
   2,076.36x = 2,422,146.72
5. Step 5: Solve for x
   x = 2,422,146.72/2,076.36
6. Step 6: Final answer
   x = 1,166.54