Finding the Fourth Proportional to 2,089.14, 3,131.58 and 1,165.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,089.14 : 3,131.58 = 1,165.10 : x
2. Step 2: Convert to fraction form
   2,089.14/3,131.58 = 1,165.10/x
3. Step 3: Cross multiply
   2,089.14x = 3,131.58 × 1,165.10
4. Step 4: Simplify right side
   2,089.14x = 3,648,603.86
5. Step 5: Solve for x
   x = 3,648,603.86/2,089.14
6. Step 6: Final answer
   x = 1,746.46