Finding the Fourth Proportional to 2,075.18, 3,114.38 and 777.02

Step by Step Solution

1. Step 1: Write the proportion equation
   2,075.18 : 3,114.38 = 777.02 : x
2. Step 2: Convert to fraction form
   2,075.18/3,114.38 = 777.02/x
3. Step 3: Cross multiply
   2,075.18x = 3,114.38 × 777.02
4. Step 4: Simplify right side
   2,075.18x = 2,419,935.55
5. Step 5: Solve for x
   x = 2,419,935.55/2,075.18
6. Step 6: Final answer
   x = 1,166.13