Finding the Fourth Proportional to 1,091.67, 1,506.27 and 649.73

Step by Step Solution

1. Step 1: Write the proportion equation
   1,091.67 : 1,506.27 = 649.73 : x
2. Step 2: Convert to fraction form
   1,091.67/1,506.27 = 649.73/x
3. Step 3: Cross multiply
   1,091.67x = 1,506.27 × 649.73
4. Step 4: Simplify right side
   1,091.67x = 978,668.81
5. Step 5: Solve for x
   x = 978,668.81/1,091.67
6. Step 6: Final answer
   x = 896.49