Finding the Fourth Proportional to 2,535.78, 3,804.15 and 804.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,535.78 : 3,804.15 = 804.06 : x
2. Step 2: Convert to fraction form
   2,535.78/3,804.15 = 804.06/x
3. Step 3: Cross multiply
   2,535.78x = 3,804.15 × 804.06
4. Step 4: Simplify right side
   2,535.78x = 3,058,764.85
5. Step 5: Solve for x
   x = 3,058,764.85/2,535.78
6. Step 6: Final answer
   x = 1,206.24