Finding the Fourth Proportional to 1,146.72, 1,582.34 and 649.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,146.72 : 1,582.34 = 649.37 : x
2. Step 2: Convert to fraction form
   1,146.72/1,582.34 = 649.37/x
3. Step 3: Cross multiply
   1,146.72x = 1,582.34 × 649.37
4. Step 4: Simplify right side
   1,146.72x = 1,027,515.93
5. Step 5: Solve for x
   x = 1,027,515.93/1,146.72
6. Step 6: Final answer
   x = 896.04