Finding the Fourth Proportional to 1,061.30, 1,464.61 and 582.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.30 : 1,464.61 = 582.80 : x
2. Step 2: Convert to fraction form
   1,061.30/1,464.61 = 582.80/x
3. Step 3: Cross multiply
   1,061.30x = 1,464.61 × 582.80
4. Step 4: Simplify right side
   1,061.30x = 853,568.11
5. Step 5: Solve for x
   x = 853,568.11/1,061.30
6. Step 6: Final answer
   x = 804.26