Finding the Fourth Proportional to 1,078.16, 1,616.57 and 461.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,078.16 : 1,616.57 = 461.53 : x
2. Step 2: Convert to fraction form
   1,078.16/1,616.57 = 461.53/x
3. Step 3: Cross multiply
   1,078.16x = 1,616.57 × 461.53
4. Step 4: Simplify right side
   1,078.16x = 746,085.16
5. Step 5: Solve for x
   x = 746,085.16/1,078.16
6. Step 6: Final answer
   x = 692.00