Finding the Fourth Proportional to 2,429.94, 3,644.99 and 786.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,429.94 : 3,644.99 = 786.50 : x
2. Step 2: Convert to fraction form
   2,429.94/3,644.99 = 786.50/x
3. Step 3: Cross multiply
   2,429.94x = 3,644.99 × 786.50
4. Step 4: Simplify right side
   2,429.94x = 2,866,762.48
5. Step 5: Solve for x
   x = 2,866,762.48/2,429.94
6. Step 6: Final answer
   x = 1,179.77