Finding the Fourth Proportional to 1,638.50, 2,454.30 and 1,227.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,638.50 : 2,454.30 = 1,227.05 : x
2. Step 2: Convert to fraction form
   1,638.50/2,454.30 = 1,227.05/x
3. Step 3: Cross multiply
   1,638.50x = 2,454.30 × 1,227.05
4. Step 4: Simplify right side
   1,638.50x = 3,011,545.75
5. Step 5: Solve for x
   x = 3,011,545.75/1,638.50
6. Step 6: Final answer
   x = 1,838.00