Finding the Fourth Proportional to 2,429.58, 3,643.59 and 785.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,429.58 : 3,643.59 = 785.76 : x
2. Step 2: Convert to fraction form
   2,429.58/3,643.59 = 785.76/x
3. Step 3: Cross multiply
   2,429.58x = 3,643.59 × 785.76
4. Step 4: Simplify right side
   2,429.58x = 2,862,987.28
5. Step 5: Solve for x
   x = 2,862,987.28/2,429.58
6. Step 6: Final answer
   x = 1,178.39