Finding the Fourth Proportional to 2,429.48, 3,643.30 and 785.58

Step by Step Solution

1. Step 1: Write the proportion equation
   2,429.48 : 3,643.30 = 785.58 : x
2. Step 2: Convert to fraction form
   2,429.48/3,643.30 = 785.58/x
3. Step 3: Cross multiply
   2,429.48x = 3,643.30 × 785.58
4. Step 4: Simplify right side
   2,429.48x = 2,862,103.61
5. Step 5: Solve for x
   x = 2,862,103.61/2,429.48
6. Step 6: Final answer
   x = 1,178.07