Finding the Fourth Proportional to 1,021.50, 1,409.55 and 601.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,021.50 : 1,409.55 = 601.82 : x
2. Step 2: Convert to fraction form
   1,021.50/1,409.55 = 601.82/x
3. Step 3: Cross multiply
   1,021.50x = 1,409.55 × 601.82
4. Step 4: Simplify right side
   1,021.50x = 848,300.41
5. Step 5: Solve for x
   x = 848,300.41/1,021.50
6. Step 6: Final answer
   x = 830.45