Finding the Fourth Proportional to 1,853.15, 2,557.76 and 1,180.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,853.15 : 2,557.76 = 1,180.82 : x
2. Step 2: Convert to fraction form
   1,853.15/2,557.76 = 1,180.82/x
3. Step 3: Cross multiply
   1,853.15x = 2,557.76 × 1,180.82
4. Step 4: Simplify right side
   1,853.15x = 3,020,235.47
5. Step 5: Solve for x
   x = 3,020,235.47/1,853.15
6. Step 6: Final answer
   x = 1,629.79