Finding the Fourth Proportional to 2,429.86, 3,643.53 and 786.19

Step by Step Solution

1. Step 1: Write the proportion equation
   2,429.86 : 3,643.53 = 786.19 : x
2. Step 2: Convert to fraction form
   2,429.86/3,643.53 = 786.19/x
3. Step 3: Cross multiply
   2,429.86x = 3,643.53 × 786.19
4. Step 4: Simplify right side
   2,429.86x = 2,864,506.85
5. Step 5: Solve for x
   x = 2,864,506.85/2,429.86
6. Step 6: Final answer
   x = 1,178.88