Finding the Fourth Proportional to 2,429.17, 3,643.41 and 786.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,429.17 : 3,643.41 = 786.82 : x
2. Step 2: Convert to fraction form
   2,429.17/3,643.41 = 786.82/x
3. Step 3: Cross multiply
   2,429.17x = 3,643.41 × 786.82
4. Step 4: Simplify right side
   2,429.17x = 2,866,707.86
5. Step 5: Solve for x
   x = 2,866,707.86/2,429.17
6. Step 6: Final answer
   x = 1,180.12