Finding the Fourth Proportional to 1,091.86, 1,506.54 and 649.60

Step by Step Solution

1. Step 1: Write the proportion equation
   1,091.86 : 1,506.54 = 649.60 : x
2. Step 2: Convert to fraction form
   1,091.86/1,506.54 = 649.60/x
3. Step 3: Cross multiply
   1,091.86x = 1,506.54 × 649.60
4. Step 4: Simplify right side
   1,091.86x = 978,648.38
5. Step 5: Solve for x
   x = 978,648.38/1,091.86
6. Step 6: Final answer
   x = 896.31