Finding the Fourth Proportional to 1,146.87, 1,582.71 and 649.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,146.87 : 1,582.71 = 649.50 : x
2. Step 2: Convert to fraction form
   1,146.87/1,582.71 = 649.50/x
3. Step 3: Cross multiply
   1,146.87x = 1,582.71 × 649.50
4. Step 4: Simplify right side
   1,146.87x = 1,027,970.15
5. Step 5: Solve for x
   x = 1,027,970.15/1,146.87
6. Step 6: Final answer
   x = 896.33