Finding the Fourth Proportional to 2,429.72, 3,644.91 and 785.73

Step by Step Solution

1. Step 1: Write the proportion equation
   2,429.72 : 3,644.91 = 785.73 : x
2. Step 2: Convert to fraction form
   2,429.72/3,644.91 = 785.73/x
3. Step 3: Cross multiply
   2,429.72x = 3,644.91 × 785.73
4. Step 4: Simplify right side
   2,429.72x = 2,863,915.13
5. Step 5: Solve for x
   x = 2,863,915.13/2,429.72
6. Step 6: Final answer
   x = 1,178.70