Finding the Fourth Proportional to 1,627.74, 2,442.33 and 601.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,627.74 : 2,442.33 = 601.50 : x
2. Step 2: Convert to fraction form
   1,627.74/2,442.33 = 601.50/x
3. Step 3: Cross multiply
   1,627.74x = 2,442.33 × 601.50
4. Step 4: Simplify right side
   1,627.74x = 1,469,061.50
5. Step 5: Solve for x
   x = 1,469,061.50/1,627.74
6. Step 6: Final answer
   x = 902.52