Finding the Fourth Proportional to 2,180.31, 3,008.82 and 1,185.57

Step by Step Solution

1. Step 1: Write the proportion equation
   2,180.31 : 3,008.82 = 1,185.57 : x
2. Step 2: Convert to fraction form
   2,180.31/3,008.82 = 1,185.57/x
3. Step 3: Cross multiply
   2,180.31x = 3,008.82 × 1,185.57
4. Step 4: Simplify right side
   2,180.31x = 3,567,166.73
5. Step 5: Solve for x
   x = 3,567,166.73/2,180.31
6. Step 6: Final answer
   x = 1,636.08