Finding the Fourth Proportional to 778.82, 1,074.82 and 429.52

Step by Step Solution

1. Step 1: Write the proportion equation
   778.82 : 1,074.82 = 429.52 : x
2. Step 2: Convert to fraction form
   778.82/1,074.82 = 429.52/x
3. Step 3: Cross multiply
   778.82x = 1,074.82 × 429.52
4. Step 4: Simplify right side
   778.82x = 461,656.69
5. Step 5: Solve for x
   x = 461,656.69/778.82
6. Step 6: Final answer
   x = 592.76