Finding the Fourth Proportional to 2,165.81, 3,249.61 and 1,191.83

Step by Step Solution

1. Step 1: Write the proportion equation
   2,165.81 : 3,249.61 = 1,191.83 : x
2. Step 2: Convert to fraction form
   2,165.81/3,249.61 = 1,191.83/x
3. Step 3: Cross multiply
   2,165.81x = 3,249.61 × 1,191.83
4. Step 4: Simplify right side
   2,165.81x = 3,872,963.46
5. Step 5: Solve for x
   x = 3,872,963.46/2,165.81
6. Step 6: Final answer
   x = 1,788.23