Finding the Fourth Proportional to 1,091.58, 1,505.89 and 649.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,091.58 : 1,505.89 = 649.24 : x
2. Step 2: Convert to fraction form
   1,091.58/1,505.89 = 649.24/x
3. Step 3: Cross multiply
   1,091.58x = 1,505.89 × 649.24
4. Step 4: Simplify right side
   1,091.58x = 977,684.02
5. Step 5: Solve for x
   x = 977,684.02/1,091.58
6. Step 6: Final answer
   x = 895.66