Finding the Fourth Proportional to 1,091.46, 1,506.42 and 649.74

Step by Step Solution

1. Step 1: Write the proportion equation
   1,091.46 : 1,506.42 = 649.74 : x
2. Step 2: Convert to fraction form
   1,091.46/1,506.42 = 649.74/x
3. Step 3: Cross multiply
   1,091.46x = 1,506.42 × 649.74
4. Step 4: Simplify right side
   1,091.46x = 978,781.33
5. Step 5: Solve for x
   x = 978,781.33/1,091.46
6. Step 6: Final answer
   x = 896.76