Finding the Fourth Proportional to 1,091.60, 1,506.33 and 649.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,091.60 : 1,506.33 = 649.53 : x
2. Step 2: Convert to fraction form
   1,091.60/1,506.33 = 649.53/x
3. Step 3: Cross multiply
   1,091.60x = 1,506.33 × 649.53
4. Step 4: Simplify right side
   1,091.60x = 978,406.52
5. Step 5: Solve for x
   x = 978,406.52/1,091.60
6. Step 6: Final answer
   x = 896.31