Finding the Fourth Proportional to 2,089.86, 3,132.71 and 1,165.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,089.86 : 3,132.71 = 1,165.82 : x
2. Step 2: Convert to fraction form
   2,089.86/3,132.71 = 1,165.82/x
3. Step 3: Cross multiply
   2,089.86x = 3,132.71 × 1,165.82
4. Step 4: Simplify right side
   2,089.86x = 3,652,175.97
5. Step 5: Solve for x
   x = 3,652,175.97/2,089.86
6. Step 6: Final answer
   x = 1,747.57