Finding the Fourth Proportional to 2,075.22, 3,112.02 and 776.28

Step by Step Solution

1. Step 1: Write the proportion equation
   2,075.22 : 3,112.02 = 776.28 : x
2. Step 2: Convert to fraction form
   2,075.22/3,112.02 = 776.28/x
3. Step 3: Cross multiply
   2,075.22x = 3,112.02 × 776.28
4. Step 4: Simplify right side
   2,075.22x = 2,415,798.89
5. Step 5: Solve for x
   x = 2,415,798.89/2,075.22
6. Step 6: Final answer
   x = 1,164.12