Finding the Fourth Proportional to 2,429.69, 3,644.72 and 786.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,429.69 : 3,644.72 = 786.50 : x
2. Step 2: Convert to fraction form
   2,429.69/3,644.72 = 786.50/x
3. Step 3: Cross multiply
   2,429.69x = 3,644.72 × 786.50
4. Step 4: Simplify right side
   2,429.69x = 2,866,550.12
5. Step 5: Solve for x
   x = 2,866,550.12/2,429.69
6. Step 6: Final answer
   x = 1,179.80