Finding the Fourth Proportional to 1,055.50, 1,456.62 and 589.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,055.50 : 1,456.62 = 589.78 : x
2. Step 2: Convert to fraction form
   1,055.50/1,456.62 = 589.78/x
3. Step 3: Cross multiply
   1,055.50x = 1,456.62 × 589.78
4. Step 4: Simplify right side
   1,055.50x = 859,085.34
5. Step 5: Solve for x
   x = 859,085.34/1,055.50
6. Step 6: Final answer
   x = 813.91