Finding the Fourth Proportional to 1,262.24, 1,891.71 and 646.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,262.24 : 1,891.71 = 646.10 : x
2. Step 2: Convert to fraction form
   1,262.24/1,891.71 = 646.10/x
3. Step 3: Cross multiply
   1,262.24x = 1,891.71 × 646.10
4. Step 4: Simplify right side
   1,262.24x = 1,222,233.83
5. Step 5: Solve for x
   x = 1,222,233.83/1,262.24
6. Step 6: Final answer
   x = 968.31