Finding the Fourth Proportional to 1,086.94, 1,499.96 and 589.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,086.94 : 1,499.96 = 589.57 : x
2. Step 2: Convert to fraction form
   1,086.94/1,499.96 = 589.57/x
3. Step 3: Cross multiply
   1,086.94x = 1,499.96 × 589.57
4. Step 4: Simplify right side
   1,086.94x = 884,332.56
5. Step 5: Solve for x
   x = 884,332.56/1,086.94
6. Step 6: Final answer
   x = 813.60