Finding the Fourth Proportional to 35,638, 49,123.78 and 28,072.35

Step by Step Solution

1. Step 1: Write the proportion equation
   35,638 : 49,123.78 = 28,072.35 : x
2. Step 2: Convert to fraction form
   35,638/49,123.78 = 28,072.35/x
3. Step 3: Cross multiply
   35,638x = 49,123.78 × 28,072.35
4. Step 4: Simplify right side
   35,638x = 1,379,019,945.48
5. Step 5: Solve for x
   x = 1,379,019,945.48/35,638
6. Step 6: Final answer
   x = 38,695.21