Finding the Fourth Proportional to 1,152.56, 1,729.18 and 459.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,152.56 : 1,729.18 = 459.34 : x
2. Step 2: Convert to fraction form
   1,152.56/1,729.18 = 459.34/x
3. Step 3: Cross multiply
   1,152.56x = 1,729.18 × 459.34
4. Step 4: Simplify right side
   1,152.56x = 794,281.54
5. Step 5: Solve for x
   x = 794,281.54/1,152.56
6. Step 6: Final answer
   x = 689.15