Finding the Fourth Proportional to 1,100.69, 1,650.02 and 407.19

Step by Step Solution

1. Step 1: Write the proportion equation
   1,100.69 : 1,650.02 = 407.19 : x
2. Step 2: Convert to fraction form
   1,100.69/1,650.02 = 407.19/x
3. Step 3: Cross multiply
   1,100.69x = 1,650.02 × 407.19
4. Step 4: Simplify right side
   1,100.69x = 671,869.61
5. Step 5: Solve for x
   x = 671,869.61/1,100.69
6. Step 6: Final answer
   x = 610.41