Finding the Fourth Proportional to 1,456.16, 2,182.41 and 1,146.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,456.16 : 2,182.41 = 1,146.78 : x
2. Step 2: Convert to fraction form
   1,456.16/2,182.41 = 1,146.78/x
3. Step 3: Cross multiply
   1,456.16x = 2,182.41 × 1,146.78
4. Step 4: Simplify right side
   1,456.16x = 2,502,748.02
5. Step 5: Solve for x
   x = 2,502,748.02/1,456.16
6. Step 6: Final answer
   x = 1,718.74