Finding the Fourth Proportional to 1,059.49, 1,587.86 and 510.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,059.49 : 1,587.86 = 510.55 : x
2. Step 2: Convert to fraction form
   1,059.49/1,587.86 = 510.55/x
3. Step 3: Cross multiply
   1,059.49x = 1,587.86 × 510.55
4. Step 4: Simplify right side
   1,059.49x = 810,679.37
5. Step 5: Solve for x
   x = 810,679.37/1,059.49
6. Step 6: Final answer
   x = 765.16