Finding the Fourth Proportional to 1,052.52, 1,452.56 and 586.84

Step by Step Solution

1. Step 1: Write the proportion equation
   1,052.52 : 1,452.56 = 586.84 : x
2. Step 2: Convert to fraction form
   1,052.52/1,452.56 = 586.84/x
3. Step 3: Cross multiply
   1,052.52x = 1,452.56 × 586.84
4. Step 4: Simplify right side
   1,052.52x = 852,420.31
5. Step 5: Solve for x
   x = 852,420.31/1,052.52
6. Step 6: Final answer
   x = 809.89