Finding the Fourth Proportional to 2,429.19, 3,644.32 and 785.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,429.19 : 3,644.32 = 785.72 : x
2. Step 2: Convert to fraction form
   2,429.19/3,644.32 = 785.72/x
3. Step 3: Cross multiply
   2,429.19x = 3,644.32 × 785.72
4. Step 4: Simplify right side
   2,429.19x = 2,863,399.21
5. Step 5: Solve for x
   x = 2,863,399.21/2,429.19
6. Step 6: Final answer
   x = 1,178.75