Finding the Fourth Proportional to 1,190.69, 1,786.43 and 460.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,190.69 : 1,786.43 = 460.27 : x
2. Step 2: Convert to fraction form
   1,190.69/1,786.43 = 460.27/x
3. Step 3: Cross multiply
   1,190.69x = 1,786.43 × 460.27
4. Step 4: Simplify right side
   1,190.69x = 822,237.83
5. Step 5: Solve for x
   x = 822,237.83/1,190.69
6. Step 6: Final answer
   x = 690.56