Finding the Fourth Proportional to 1,146.93, 1,582.72 and 649.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,146.93 : 1,582.72 = 649.47 : x
2. Step 2: Convert to fraction form
   1,146.93/1,582.72 = 649.47/x
3. Step 3: Cross multiply
   1,146.93x = 1,582.72 × 649.47
4. Step 4: Simplify right side
   1,146.93x = 1,027,929.16
5. Step 5: Solve for x
   x = 1,027,929.16/1,146.93
6. Step 6: Final answer
   x = 896.24