Finding the Fourth Proportional to 1,233.50, 1,846.27 and 647.67

Step by Step Solution

1. Step 1: Write the proportion equation
   1,233.50 : 1,846.27 = 647.67 : x
2. Step 2: Convert to fraction form
   1,233.50/1,846.27 = 647.67/x
3. Step 3: Cross multiply
   1,233.50x = 1,846.27 × 647.67
4. Step 4: Simplify right side
   1,233.50x = 1,195,770.45
5. Step 5: Solve for x
   x = 1,195,770.45/1,233.50
6. Step 6: Final answer
   x = 969.42