Finding the Fourth Proportional to 2,075.92, 3,114.52 and 777.52

Step by Step Solution

1. Step 1: Write the proportion equation
   2,075.92 : 3,114.52 = 777.52 : x
2. Step 2: Convert to fraction form
   2,075.92/3,114.52 = 777.52/x
3. Step 3: Cross multiply
   2,075.92x = 3,114.52 × 777.52
4. Step 4: Simplify right side
   2,075.92x = 2,421,601.59
5. Step 5: Solve for x
   x = 2,421,601.59/2,075.92
6. Step 6: Final answer
   x = 1,166.52