Finding the Fourth Proportional to 2,007.42, 3,011.58 and 601.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,007.42 : 3,011.58 = 601.78 : x
2. Step 2: Convert to fraction form
   2,007.42/3,011.58 = 601.78/x
3. Step 3: Cross multiply
   2,007.42x = 3,011.58 × 601.78
4. Step 4: Simplify right side
   2,007.42x = 1,812,313.88
5. Step 5: Solve for x
   x = 1,812,313.88/2,007.42
6. Step 6: Final answer
   x = 902.81