Finding the Fourth Proportional to 859.42, 1,185.69 and 510.10

Step by Step Solution

1. Step 1: Write the proportion equation
   859.42 : 1,185.69 = 510.10 : x
2. Step 2: Convert to fraction form
   859.42/1,185.69 = 510.10/x
3. Step 3: Cross multiply
   859.42x = 1,185.69 × 510.10
4. Step 4: Simplify right side
   859.42x = 604,820.47
5. Step 5: Solve for x
   x = 604,820.47/859.42
6. Step 6: Final answer
   x = 703.75