Finding the Fourth Proportional to 2,535.66, 3,805.40 and 1,075.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,535.66 : 3,805.40 = 1,075.82 : x
2. Step 2: Convert to fraction form
   2,535.66/3,805.40 = 1,075.82/x
3. Step 3: Cross multiply
   2,535.66x = 3,805.40 × 1,075.82
4. Step 4: Simplify right side
   2,535.66x = 4,093,925.43
5. Step 5: Solve for x
   x = 4,093,925.43/2,535.66
6. Step 6: Final answer
   x = 1,614.54