Finding the Fourth Proportional to 1,153.46, 1,591.83 and 649.35

Step by Step Solution

1. Step 1: Write the proportion equation
   1,153.46 : 1,591.83 = 649.35 : x
2. Step 2: Convert to fraction form
   1,153.46/1,591.83 = 649.35/x
3. Step 3: Cross multiply
   1,153.46x = 1,591.83 × 649.35
4. Step 4: Simplify right side
   1,153.46x = 1,033,654.81
5. Step 5: Solve for x
   x = 1,033,654.81/1,153.46
6. Step 6: Final answer
   x = 896.13