Finding the Fourth Proportional to 1,100.72, 1,649.59 and 406.74

Step by Step Solution

1. Step 1: Write the proportion equation
   1,100.72 : 1,649.59 = 406.74 : x
2. Step 2: Convert to fraction form
   1,100.72/1,649.59 = 406.74/x
3. Step 3: Cross multiply
   1,100.72x = 1,649.59 × 406.74
4. Step 4: Simplify right side
   1,100.72x = 670,954.24
5. Step 5: Solve for x
   x = 670,954.24/1,100.72
6. Step 6: Final answer
   x = 609.56