Finding the Fourth Proportional to 1,146.63, 1,582.25 and 649.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,146.63 : 1,582.25 = 649.32 : x
2. Step 2: Convert to fraction form
   1,146.63/1,582.25 = 649.32/x
3. Step 3: Cross multiply
   1,146.63x = 1,582.25 × 649.32
4. Step 4: Simplify right side
   1,146.63x = 1,027,383.32
5. Step 5: Solve for x
   x = 1,027,383.32/1,146.63
6. Step 6: Final answer
   x = 896.00