Finding the Fourth Proportional to 2,165.91, 2,989.47 and 2,096.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,165.91 : 2,989.47 = 2,096.72 : x
2. Step 2: Convert to fraction form
   2,165.91/2,989.47 = 2,096.72/x
3. Step 3: Cross multiply
   2,165.91x = 2,989.47 × 2,096.72
4. Step 4: Simplify right side
   2,165.91x = 6,268,066.59
5. Step 5: Solve for x
   x = 6,268,066.59/2,165.91
6. Step 6: Final answer
   x = 2,893.96