Finding the Fourth Proportional to 2,075.51, 3,112.65 and 776.67

Step by Step Solution

1. Step 1: Write the proportion equation
   2,075.51 : 3,112.65 = 776.67 : x
2. Step 2: Convert to fraction form
   2,075.51/3,112.65 = 776.67/x
3. Step 3: Cross multiply
   2,075.51x = 3,112.65 × 776.67
4. Step 4: Simplify right side
   2,075.51x = 2,417,501.88
5. Step 5: Solve for x
   x = 2,417,501.88/2,075.51
6. Step 6: Final answer
   x = 1,164.78