Finding the Fourth Proportional to 1,055.25, 1,456.29 and 589.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,055.25 : 1,456.29 = 589.50 : x
2. Step 2: Convert to fraction form
   1,055.25/1,456.29 = 589.50/x
3. Step 3: Cross multiply
   1,055.25x = 1,456.29 × 589.50
4. Step 4: Simplify right side
   1,055.25x = 858,482.96
5. Step 5: Solve for x
   x = 858,482.96/1,055.25
6. Step 6: Final answer
   x = 813.54