Finding the Fourth Proportional to 1,055.66, 1,456.71 and 589.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,055.66 : 1,456.71 = 589.94 : x
2. Step 2: Convert to fraction form
   1,055.66/1,456.71 = 589.94/x
3. Step 3: Cross multiply
   1,055.66x = 1,456.71 × 589.94
4. Step 4: Simplify right side
   1,055.66x = 859,371.50
5. Step 5: Solve for x
   x = 859,371.50/1,055.66
6. Step 6: Final answer
   x = 814.06