Finding the Fourth Proportional to 1,152.96, 1,728.46 and 460.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,152.96 : 1,728.46 = 460.14 : x
2. Step 2: Convert to fraction form
   1,152.96/1,728.46 = 460.14/x
3. Step 3: Cross multiply
   1,152.96x = 1,728.46 × 460.14
4. Step 4: Simplify right side
   1,152.96x = 795,333.58
5. Step 5: Solve for x
   x = 795,333.58/1,152.96
6. Step 6: Final answer
   x = 689.82