Finding the Fourth Proportional to 2,075.12, 3,112.56 and 776.49

Step by Step Solution

1. Step 1: Write the proportion equation
   2,075.12 : 3,112.56 = 776.49 : x
2. Step 2: Convert to fraction form
   2,075.12/3,112.56 = 776.49/x
3. Step 3: Cross multiply
   2,075.12x = 3,112.56 × 776.49
4. Step 4: Simplify right side
   2,075.12x = 2,416,871.71
5. Step 5: Solve for x
   x = 2,416,871.71/2,075.12
6. Step 6: Final answer
   x = 1,164.69