Finding the Fourth Proportional to 1,100.06, 1,648.89 and 406.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,100.06 : 1,648.89 = 406.14 : x
2. Step 2: Convert to fraction form
   1,100.06/1,648.89 = 406.14/x
3. Step 3: Cross multiply
   1,100.06x = 1,648.89 × 406.14
4. Step 4: Simplify right side
   1,100.06x = 669,684.81
5. Step 5: Solve for x
   x = 669,684.81/1,100.06
6. Step 6: Final answer
   x = 608.77