Finding the Fourth Proportional to 1,146.90, 1,582.71 and 649.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,146.90 : 1,582.71 = 649.53 : x
2. Step 2: Convert to fraction form
   1,146.90/1,582.71 = 649.53/x
3. Step 3: Cross multiply
   1,146.90x = 1,582.71 × 649.53
4. Step 4: Simplify right side
   1,146.90x = 1,028,017.63
5. Step 5: Solve for x
   x = 1,028,017.63/1,146.90
6. Step 6: Final answer
   x = 896.34