Finding the Fourth Proportional to 2,075.05, 3,114.20 and 776.89

Step by Step Solution

1. Step 1: Write the proportion equation
   2,075.05 : 3,114.20 = 776.89 : x
2. Step 2: Convert to fraction form
   2,075.05/3,114.20 = 776.89/x
3. Step 3: Cross multiply
   2,075.05x = 3,114.20 × 776.89
4. Step 4: Simplify right side
   2,075.05x = 2,419,390.84
5. Step 5: Solve for x
   x = 2,419,390.84/2,075.05
6. Step 6: Final answer
   x = 1,165.94