Finding the Fourth Proportional to 2,542.50, 3,814.46 and 900.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,542.50 : 3,814.46 = 900.20 : x
2. Step 2: Convert to fraction form
   2,542.50/3,814.46 = 900.20/x
3. Step 3: Cross multiply
   2,542.50x = 3,814.46 × 900.20
4. Step 4: Simplify right side
   2,542.50x = 3,433,753.32
5. Step 5: Solve for x
   x = 3,433,753.32/2,542.50
6. Step 6: Final answer
   x = 1,350.54