Finding the Fourth Proportional to 2,075.82, 2,864.58 and 1,191.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,075.82 : 2,864.58 = 1,191.78 : x
2. Step 2: Convert to fraction form
   2,075.82/2,864.58 = 1,191.78/x
3. Step 3: Cross multiply
   2,075.82x = 2,864.58 × 1,191.78
4. Step 4: Simplify right side
   2,075.82x = 3,413,949.15
5. Step 5: Solve for x
   x = 3,413,949.15/2,075.82
6. Step 6: Final answer
   x = 1,644.63