Finding the Fourth Proportional to 1,152.76, 1,728.89 and 459.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,152.76 : 1,728.89 = 459.30 : x
2. Step 2: Convert to fraction form
   1,152.76/1,728.89 = 459.30/x
3. Step 3: Cross multiply
   1,152.76x = 1,728.89 × 459.30
4. Step 4: Simplify right side
   1,152.76x = 794,076.88
5. Step 5: Solve for x
   x = 794,076.88/1,152.76
6. Step 6: Final answer
   x = 688.85