Finding the Fourth Proportional to 2,075.09, 3,114.01 and 776.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,075.09 : 3,114.01 = 776.56 : x
2. Step 2: Convert to fraction form
   2,075.09/3,114.01 = 776.56/x
3. Step 3: Cross multiply
   2,075.09x = 3,114.01 × 776.56
4. Step 4: Simplify right side
   2,075.09x = 2,418,215.61
5. Step 5: Solve for x
   x = 2,418,215.61/2,075.09
6. Step 6: Final answer
   x = 1,165.35