Finding the Fourth Proportional to 1,105.52, 1,659.30 and 456.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.52 : 1,659.30 = 456.30 : x
2. Step 2: Convert to fraction form
   1,105.52/1,659.30 = 456.30/x
3. Step 3: Cross multiply
   1,105.52x = 1,659.30 × 456.30
4. Step 4: Simplify right side
   1,105.52x = 757,138.59
5. Step 5: Solve for x
   x = 757,138.59/1,105.52
6. Step 6: Final answer
   x = 684.87