Finding the Fourth Proportional to 2,082.72, 2,873.52 and 1,460.64

Step by Step Solution

1. Step 1: Write the proportion equation
   2,082.72 : 2,873.52 = 1,460.64 : x
2. Step 2: Convert to fraction form
   2,082.72/2,873.52 = 1,460.64/x
3. Step 3: Cross multiply
   2,082.72x = 2,873.52 × 1,460.64
4. Step 4: Simplify right side
   2,082.72x = 4,197,178.25
5. Step 5: Solve for x
   x = 4,197,178.25/2,082.72
6. Step 6: Final answer
   x = 2,015.24