Finding the Fourth Proportional to 1,100.35, 1,650.71 and 407.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,100.35 : 1,650.71 = 407.02 : x
2. Step 2: Convert to fraction form
   1,100.35/1,650.71 = 407.02/x
3. Step 3: Cross multiply
   1,100.35x = 1,650.71 × 407.02
4. Step 4: Simplify right side
   1,100.35x = 671,871.98
5. Step 5: Solve for x
   x = 671,871.98/1,100.35
6. Step 6: Final answer
   x = 610.60