Finding the Fourth Proportional to 1,456.82, 2,185.50 and 634.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,456.82 : 2,185.50 = 634.94 : x
2. Step 2: Convert to fraction form
   1,456.82/2,185.50 = 634.94/x
3. Step 3: Cross multiply
   1,456.82x = 2,185.50 × 634.94
4. Step 4: Simplify right side
   1,456.82x = 1,387,661.37
5. Step 5: Solve for x
   x = 1,387,661.37/1,456.82
6. Step 6: Final answer
   x = 952.53