Finding the Fourth Proportional to 2,075.71, 2,864.46 and 1,191.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,075.71 : 2,864.46 = 1,191.82 : x
2. Step 2: Convert to fraction form
   2,075.71/2,864.46 = 1,191.82/x
3. Step 3: Cross multiply
   2,075.71x = 2,864.46 × 1,191.82
4. Step 4: Simplify right side
   2,075.71x = 3,413,920.72
5. Step 5: Solve for x
   x = 3,413,920.72/2,075.71
6. Step 6: Final answer
   x = 1,644.70