Finding the Fourth Proportional to 859.35, 1,185.89 and 510.15

Step by Step Solution

1. Step 1: Write the proportion equation
   859.35 : 1,185.89 = 510.15 : x
2. Step 2: Convert to fraction form
   859.35/1,185.89 = 510.15/x
3. Step 3: Cross multiply
   859.35x = 1,185.89 × 510.15
4. Step 4: Simplify right side
   859.35x = 604,979.23
5. Step 5: Solve for x
   x = 604,979.23/859.35
6. Step 6: Final answer
   x = 704.00