Finding the Fourth Proportional to 1,458.48, 2,185.76 and 678.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,458.48 : 2,185.76 = 678.56 : x
2. Step 2: Convert to fraction form
   1,458.48/2,185.76 = 678.56/x
3. Step 3: Cross multiply
   1,458.48x = 2,185.76 × 678.56
4. Step 4: Simplify right side
   1,458.48x = 1,483,169.31
5. Step 5: Solve for x
   x = 1,483,169.31/1,458.48
6. Step 6: Final answer
   x = 1,016.93