Finding the Fourth Proportional to 2,429.78, 3,645.14 and 786.47

Step by Step Solution

1. Step 1: Write the proportion equation
   2,429.78 : 3,645.14 = 786.47 : x
2. Step 2: Convert to fraction form
   2,429.78/3,645.14 = 786.47/x
3. Step 3: Cross multiply
   2,429.78x = 3,645.14 × 786.47
4. Step 4: Simplify right side
   2,429.78x = 2,866,771.10
5. Step 5: Solve for x
   x = 2,866,771.10/2,429.78
6. Step 6: Final answer
   x = 1,179.85