Finding the Fourth Proportional to 1,034.32, 1,427.61 and 586.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,034.32 : 1,427.61 = 586.30 : x
2. Step 2: Convert to fraction form
   1,034.32/1,427.61 = 586.30/x
3. Step 3: Cross multiply
   1,034.32x = 1,427.61 × 586.30
4. Step 4: Simplify right side
   1,034.32x = 837,007.74
5. Step 5: Solve for x
   x = 837,007.74/1,034.32
6. Step 6: Final answer
   x = 809.23