Finding the Fourth Proportional to 1,078.29, 1,615.89 and 461.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,078.29 : 1,615.89 = 461.83 : x
2. Step 2: Convert to fraction form
   1,078.29/1,615.89 = 461.83/x
3. Step 3: Cross multiply
   1,078.29x = 1,615.89 × 461.83
4. Step 4: Simplify right side
   1,078.29x = 746,266.48
5. Step 5: Solve for x
   x = 746,266.48/1,078.29
6. Step 6: Final answer
   x = 692.08