Finding the Fourth Proportional to 300.02, 413.78 and 201.56

Step by Step Solution

1. Step 1: Write the proportion equation
   300.02 : 413.78 = 201.56 : x
2. Step 2: Convert to fraction form
   300.02/413.78 = 201.56/x
3. Step 3: Cross multiply
   300.02x = 413.78 × 201.56
4. Step 4: Simplify right side
   300.02x = 83,401.50
5. Step 5: Solve for x
   x = 83,401.50/300.02
6. Step 6: Final answer
   x = 277.99