Finding the Fourth Proportional to 1,091.63, 1,505.81 and 649.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,091.63 : 1,505.81 = 649.50 : x
2. Step 2: Convert to fraction form
   1,091.63/1,505.81 = 649.50/x
3. Step 3: Cross multiply
   1,091.63x = 1,505.81 × 649.50
4. Step 4: Simplify right side
   1,091.63x = 978,020.35
5. Step 5: Solve for x
   x = 978,020.35/1,091.63
6. Step 6: Final answer
   x = 895.93