Finding the Fourth Proportional to 1,086.80, 1,499.78 and 589.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,086.80 : 1,499.78 = 589.46 : x
2. Step 2: Convert to fraction form
   1,086.80/1,499.78 = 589.46/x
3. Step 3: Cross multiply
   1,086.80x = 1,499.78 × 589.46
4. Step 4: Simplify right side
   1,086.80x = 884,052.82
5. Step 5: Solve for x
   x = 884,052.82/1,086.80
6. Step 6: Final answer
   x = 813.45