Finding the Fourth Proportional to 2,165.84, 2,989.36 and 1,811.14

Step by Step Solution

1. Step 1: Write the proportion equation
   2,165.84 : 2,989.36 = 1,811.14 : x
2. Step 2: Convert to fraction form
   2,165.84/2,989.36 = 1,811.14/x
3. Step 3: Cross multiply
   2,165.84x = 2,989.36 × 1,811.14
4. Step 4: Simplify right side
   2,165.84x = 5,414,150.89
5. Step 5: Solve for x
   x = 5,414,150.89/2,165.84
6. Step 6: Final answer
   x = 2,499.79