Finding the Fourth Proportional to 2,086.64, 2,874.66 and 1,456.02

Step by Step Solution

1. Step 1: Write the proportion equation
   2,086.64 : 2,874.66 = 1,456.02 : x
2. Step 2: Convert to fraction form
   2,086.64/2,874.66 = 1,456.02/x
3. Step 3: Cross multiply
   2,086.64x = 2,874.66 × 1,456.02
4. Step 4: Simplify right side
   2,086.64x = 4,185,562.45
5. Step 5: Solve for x
   x = 4,185,562.45/2,086.64
6. Step 6: Final answer
   x = 2,005.89