Finding the Fourth Proportional to 1,189.27, 1,782.69 and 458.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,189.27 : 1,782.69 = 458.56 : x
2. Step 2: Convert to fraction form
   1,189.27/1,782.69 = 458.56/x
3. Step 3: Cross multiply
   1,189.27x = 1,782.69 × 458.56
4. Step 4: Simplify right side
   1,189.27x = 817,470.33
5. Step 5: Solve for x
   x = 817,470.33/1,189.27
6. Step 6: Final answer
   x = 687.37