Finding the Fourth Proportional to 2,075.78, 3,114.50 and 842.87

Step by Step Solution

1. Step 1: Write the proportion equation
   2,075.78 : 3,114.50 = 842.87 : x
2. Step 2: Convert to fraction form
   2,075.78/3,114.50 = 842.87/x
3. Step 3: Cross multiply
   2,075.78x = 3,114.50 × 842.87
4. Step 4: Simplify right side
   2,075.78x = 2,625,105.15
5. Step 5: Solve for x
   x = 2,625,105.15/2,075.78
6. Step 6: Final answer
   x = 1,264.64