Finding the Fourth Proportional to 1,651.69, 2,477.49 and 829.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,651.69 : 2,477.49 = 829.50 : x
2. Step 2: Convert to fraction form
   1,651.69/2,477.49 = 829.50/x
3. Step 3: Cross multiply
   1,651.69x = 2,477.49 × 829.50
4. Step 4: Simplify right side
   1,651.69x = 2,055,077.96
5. Step 5: Solve for x
   x = 2,055,077.96/1,651.69
6. Step 6: Final answer
   x = 1,244.23