Finding the Fourth Proportional to 1,078.16, 1,616.20 and 462.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,078.16 : 1,616.20 = 462.02 : x
2. Step 2: Convert to fraction form
   1,078.16/1,616.20 = 462.02/x
3. Step 3: Cross multiply
   1,078.16x = 1,616.20 × 462.02
4. Step 4: Simplify right side
   1,078.16x = 746,716.72
5. Step 5: Solve for x
   x = 746,716.72/1,078.16
6. Step 6: Final answer
   x = 692.58