Finding the Fourth Proportional to 1,191.69, 1,786.86 and 460.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,191.69 : 1,786.86 = 460.71 : x
2. Step 2: Convert to fraction form
   1,191.69/1,786.86 = 460.71/x
3. Step 3: Cross multiply
   1,191.69x = 1,786.86 × 460.71
4. Step 4: Simplify right side
   1,191.69x = 823,224.27
5. Step 5: Solve for x
   x = 823,224.27/1,191.69
6. Step 6: Final answer
   x = 690.80