Finding the Fourth Proportional to 1,191.27, 1,785.69 and 460.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,191.27 : 1,785.69 = 460.56 : x
2. Step 2: Convert to fraction form
   1,191.27/1,785.69 = 460.56/x
3. Step 3: Cross multiply
   1,191.27x = 1,785.69 × 460.56
4. Step 4: Simplify right side
   1,191.27x = 822,417.39
5. Step 5: Solve for x
   x = 822,417.39/1,191.27
6. Step 6: Final answer
   x = 690.37