Finding the Fourth Proportional to 2,429.42, 3,642.88 and 785.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,429.42 : 3,642.88 = 785.75 : x
2. Step 2: Convert to fraction form
   2,429.42/3,642.88 = 785.75/x
3. Step 3: Cross multiply
   2,429.42x = 3,642.88 × 785.75
4. Step 4: Simplify right side
   2,429.42x = 2,862,389.03
5. Step 5: Solve for x
   x = 2,862,389.03/2,429.42
6. Step 6: Final answer
   x = 1,178.22