Finding the Fourth Proportional to 1,105.32, 1,656.90 and 456.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.32 : 1,656.90 = 456.52 : x
2. Step 2: Convert to fraction form
   1,105.32/1,656.90 = 456.52/x
3. Step 3: Cross multiply
   1,105.32x = 1,656.90 × 456.52
4. Step 4: Simplify right side
   1,105.32x = 756,407.99
5. Step 5: Solve for x
   x = 756,407.99/1,105.32
6. Step 6: Final answer
   x = 684.33