Finding the Fourth Proportional to 2,076.48, 3,113.82 and 777.60

Step by Step Solution

1. Step 1: Write the proportion equation
   2,076.48 : 3,113.82 = 777.60 : x
2. Step 2: Convert to fraction form
   2,076.48/3,113.82 = 777.60/x
3. Step 3: Cross multiply
   2,076.48x = 3,113.82 × 777.60
4. Step 4: Simplify right side
   2,076.48x = 2,421,306.43
5. Step 5: Solve for x
   x = 2,421,306.43/2,076.48
6. Step 6: Final answer
   x = 1,166.06