Finding the Fourth Proportional to 2,052.26, 3,075.96 and 1,184.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,052.26 : 3,075.96 = 1,184.78 : x
2. Step 2: Convert to fraction form
   2,052.26/3,075.96 = 1,184.78/x
3. Step 3: Cross multiply
   2,052.26x = 3,075.96 × 1,184.78
4. Step 4: Simplify right side
   2,052.26x = 3,644,335.89
5. Step 5: Solve for x
   x = 3,644,335.89/2,052.26
6. Step 6: Final answer
   x = 1,775.77