Finding the Fourth Proportional to 1,091.63, 1,506.37 and 649.28

Step by Step Solution

1. Step 1: Write the proportion equation
   1,091.63 : 1,506.37 = 649.28 : x
2. Step 2: Convert to fraction form
   1,091.63/1,506.37 = 649.28/x
3. Step 3: Cross multiply
   1,091.63x = 1,506.37 × 649.28
4. Step 4: Simplify right side
   1,091.63x = 978,055.91
5. Step 5: Solve for x
   x = 978,055.91/1,091.63
6. Step 6: Final answer
   x = 895.96