Finding the Fourth Proportional to 1,229.79, 1,843.61 and 460.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,229.79 : 1,843.61 = 460.83 : x
2. Step 2: Convert to fraction form
   1,229.79/1,843.61 = 460.83/x
3. Step 3: Cross multiply
   1,229.79x = 1,843.61 × 460.83
4. Step 4: Simplify right side
   1,229.79x = 849,588.49
5. Step 5: Solve for x
   x = 849,588.49/1,229.79
6. Step 6: Final answer
   x = 690.84