Finding the Fourth Proportional to 2,075.75, 2,864.60 and 1,191.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,075.75 : 2,864.60 = 1,191.72 : x
2. Step 2: Convert to fraction form
   2,075.75/2,864.60 = 1,191.72/x
3. Step 3: Cross multiply
   2,075.75x = 2,864.60 × 1,191.72
4. Step 4: Simplify right side
   2,075.75x = 3,413,795.15
5. Step 5: Solve for x
   x = 3,413,795.15/2,075.75
6. Step 6: Final answer
   x = 1,644.61