Finding the Fourth Proportional to 1,036.56, 1,430.43 and 582.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,036.56 : 1,430.43 = 582.30 : x
2. Step 2: Convert to fraction form
   1,036.56/1,430.43 = 582.30/x
3. Step 3: Cross multiply
   1,036.56x = 1,430.43 × 582.30
4. Step 4: Simplify right side
   1,036.56x = 832,939.39
5. Step 5: Solve for x
   x = 832,939.39/1,036.56
6. Step 6: Final answer
   x = 803.56