Finding the Fourth Proportional to 1,024.42, 1,535.47 and 900.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,024.42 : 1,535.47 = 900.78 : x
2. Step 2: Convert to fraction form
   1,024.42/1,535.47 = 900.78/x
3. Step 3: Cross multiply
   1,024.42x = 1,535.47 × 900.78
4. Step 4: Simplify right side
   1,024.42x = 1,383,126.79
5. Step 5: Solve for x
   x = 1,383,126.79/1,024.42
6. Step 6: Final answer
   x = 1,350.15