Finding the Fourth Proportional to 2,076.45, 3,114.06 and 777.61

Step by Step Solution

1. Step 1: Write the proportion equation
   2,076.45 : 3,114.06 = 777.61 : x
2. Step 2: Convert to fraction form
   2,076.45/3,114.06 = 777.61/x
3. Step 3: Cross multiply
   2,076.45x = 3,114.06 × 777.61
4. Step 4: Simplify right side
   2,076.45x = 2,421,520.31
5. Step 5: Solve for x
   x = 2,421,520.31/2,076.45
6. Step 6: Final answer
   x = 1,166.19