Finding the Fourth Proportional to 1,087.93, 1,630.46 and 509.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,087.93 : 1,630.46 = 509.59 : x
2. Step 2: Convert to fraction form
   1,087.93/1,630.46 = 509.59/x
3. Step 3: Cross multiply
   1,087.93x = 1,630.46 × 509.59
4. Step 4: Simplify right side
   1,087.93x = 830,863.56
5. Step 5: Solve for x
   x = 830,863.56/1,087.93
6. Step 6: Final answer
   x = 763.71