Finding the Fourth Proportional to 1,100.58, 1,649.37 and 406.58

Step by Step Solution

1. Step 1: Write the proportion equation
   1,100.58 : 1,649.37 = 406.58 : x
2. Step 2: Convert to fraction form
   1,100.58/1,649.37 = 406.58/x
3. Step 3: Cross multiply
   1,100.58x = 1,649.37 × 406.58
4. Step 4: Simplify right side
   1,100.58x = 670,592.61
5. Step 5: Solve for x
   x = 670,592.61/1,100.58
6. Step 6: Final answer
   x = 609.31