Finding the Fourth Proportional to 1,086.41, 1,630.42 and 509.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,086.41 : 1,630.42 = 509.69 : x
2. Step 2: Convert to fraction form
   1,086.41/1,630.42 = 509.69/x
3. Step 3: Cross multiply
   1,086.41x = 1,630.42 × 509.69
4. Step 4: Simplify right side
   1,086.41x = 830,999.34
5. Step 5: Solve for x
   x = 830,999.34/1,086.41
6. Step 6: Final answer
   x = 764.91