Finding the Fourth Proportional to 1,052.34, 1,452.24 and 586.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,052.34 : 1,452.24 = 586.59 : x
2. Step 2: Convert to fraction form
   1,052.34/1,452.24 = 586.59/x
3. Step 3: Cross multiply
   1,052.34x = 1,452.24 × 586.59
4. Step 4: Simplify right side
   1,052.34x = 851,869.46
5. Step 5: Solve for x
   x = 851,869.46/1,052.34
6. Step 6: Final answer
   x = 809.50