Finding the Fourth Proportional to 1,057.84, 1,587.18 and 510.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,057.84 : 1,587.18 = 510.50 : x
2. Step 2: Convert to fraction form
   1,057.84/1,587.18 = 510.50/x
3. Step 3: Cross multiply
   1,057.84x = 1,587.18 × 510.50
4. Step 4: Simplify right side
   1,057.84x = 810,255.39
5. Step 5: Solve for x
   x = 810,255.39/1,057.84
6. Step 6: Final answer
   x = 765.95