Finding the Fourth Proportional to 1,105.78, 1,658.63 and 456.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.78 : 1,658.63 = 456.02 : x
2. Step 2: Convert to fraction form
   1,105.78/1,658.63 = 456.02/x
3. Step 3: Cross multiply
   1,105.78x = 1,658.63 × 456.02
4. Step 4: Simplify right side
   1,105.78x = 756,368.45
5. Step 5: Solve for x
   x = 756,368.45/1,105.78
6. Step 6: Final answer
   x = 684.01