Finding the Fourth Proportional to 805.57, 1,111.71 and 456.25

Step by Step Solution

1. Step 1: Write the proportion equation
   805.57 : 1,111.71 = 456.25 : x
2. Step 2: Convert to fraction form
   805.57/1,111.71 = 456.25/x
3. Step 3: Cross multiply
   805.57x = 1,111.71 × 456.25
4. Step 4: Simplify right side
   805.57x = 507,217.69
5. Step 5: Solve for x
   x = 507,217.69/805.57
6. Step 6: Final answer
   x = 629.64