Finding the Fourth Proportional to 1,608.80, 2,411.61 and 829.17

Step by Step Solution

1. Step 1: Write the proportion equation
   1,608.80 : 2,411.61 = 829.17 : x
2. Step 2: Convert to fraction form
   1,608.80/2,411.61 = 829.17/x
3. Step 3: Cross multiply
   1,608.80x = 2,411.61 × 829.17
4. Step 4: Simplify right side
   1,608.80x = 1,999,631.55
5. Step 5: Solve for x
   x = 1,999,631.55/1,608.80
6. Step 6: Final answer
   x = 1,242.94