Finding the Fourth Proportional to 805.69, 1,111.71 and 456.31

Step by Step Solution

1. Step 1: Write the proportion equation
   805.69 : 1,111.71 = 456.31 : x
2. Step 2: Convert to fraction form
   805.69/1,111.71 = 456.31/x
3. Step 3: Cross multiply
   805.69x = 1,111.71 × 456.31
4. Step 4: Simplify right side
   805.69x = 507,284.39
5. Step 5: Solve for x
   x = 507,284.39/805.69
6. Step 6: Final answer
   x = 629.63