Finding the Fourth Proportional to 2,075.72, 3,112.70 and 776.28

Step by Step Solution

1. Step 1: Write the proportion equation
   2,075.72 : 3,112.70 = 776.28 : x
2. Step 2: Convert to fraction form
   2,075.72/3,112.70 = 776.28/x
3. Step 3: Cross multiply
   2,075.72x = 3,112.70 × 776.28
4. Step 4: Simplify right side
   2,075.72x = 2,416,326.76
5. Step 5: Solve for x
   x = 2,416,326.76/2,075.72
6. Step 6: Final answer
   x = 1,164.09