Finding the Fourth Proportional to 1,191.17, 1,786.56 and 460.65

Step by Step Solution

1. Step 1: Write the proportion equation
   1,191.17 : 1,786.56 = 460.65 : x
2. Step 2: Convert to fraction form
   1,191.17/1,786.56 = 460.65/x
3. Step 3: Cross multiply
   1,191.17x = 1,786.56 × 460.65
4. Step 4: Simplify right side
   1,191.17x = 822,978.86
5. Step 5: Solve for x
   x = 822,978.86/1,191.17
6. Step 6: Final answer
   x = 690.90