Finding the Fourth Proportional to 1,529.82, 2,289.78 and 1,205.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,529.82 : 2,289.78 = 1,205.82 : x
2. Step 2: Convert to fraction form
   1,529.82/2,289.78 = 1,205.82/x
3. Step 3: Cross multiply
   1,529.82x = 2,289.78 × 1,205.82
4. Step 4: Simplify right side
   1,529.82x = 2,761,062.52
5. Step 5: Solve for x
   x = 2,761,062.52/1,529.82
6. Step 6: Final answer
   x = 1,804.83