Finding the Fourth Proportional to 1,100.98, 1,650.99 and 416.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,100.98 : 1,650.99 = 416.50 : x
2. Step 2: Convert to fraction form
   1,100.98/1,650.99 = 416.50/x
3. Step 3: Cross multiply
   1,100.98x = 1,650.99 × 416.50
4. Step 4: Simplify right side
   1,100.98x = 687,637.34
5. Step 5: Solve for x
   x = 687,637.34/1,100.98
6. Step 6: Final answer
   x = 624.57