Finding the Fourth Proportional to 1,085.69, 1,628.78 and 508.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,085.69 : 1,628.78 = 508.25 : x
2. Step 2: Convert to fraction form
   1,085.69/1,628.78 = 508.25/x
3. Step 3: Cross multiply
   1,085.69x = 1,628.78 × 508.25
4. Step 4: Simplify right side
   1,085.69x = 827,824.89
5. Step 5: Solve for x
   x = 827,824.89/1,085.69
6. Step 6: Final answer
   x = 762.49