Finding the Fourth Proportional to 1,105.05, 1,656.48 and 456.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.05 : 1,656.48 = 456.15 : x
2. Step 2: Convert to fraction form
   1,105.05/1,656.48 = 456.15/x
3. Step 3: Cross multiply
   1,105.05x = 1,656.48 × 456.15
4. Step 4: Simplify right side
   1,105.05x = 755,603.35
5. Step 5: Solve for x
   x = 755,603.35/1,105.05
6. Step 6: Final answer
   x = 683.77