Finding the Fourth Proportional to 2,075.78, 2,864.52 and 1,191.53

Step by Step Solution

1. Step 1: Write the proportion equation
   2,075.78 : 2,864.52 = 1,191.53 : x
2. Step 2: Convert to fraction form
   2,075.78/2,864.52 = 1,191.53/x
3. Step 3: Cross multiply
   2,075.78x = 2,864.52 × 1,191.53
4. Step 4: Simplify right side
   2,075.78x = 3,413,147.19
5. Step 5: Solve for x
   x = 3,413,147.19/2,075.78
6. Step 6: Final answer
   x = 1,644.28