Finding the Fourth Proportional to 1,100.56, 1,649.33 and 406.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,100.56 : 1,649.33 = 406.56 : x
2. Step 2: Convert to fraction form
   1,100.56/1,649.33 = 406.56/x
3. Step 3: Cross multiply
   1,100.56x = 1,649.33 × 406.56
4. Step 4: Simplify right side
   1,100.56x = 670,551.60
5. Step 5: Solve for x
   x = 670,551.60/1,100.56
6. Step 6: Final answer
   x = 609.28