Finding the Fourth Proportional to 1,200.53, 1,796.96 and 644.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,200.53 : 1,796.96 = 644.46 : x
2. Step 2: Convert to fraction form
   1,200.53/1,796.96 = 644.46/x
3. Step 3: Cross multiply
   1,200.53x = 1,796.96 × 644.46
4. Step 4: Simplify right side
   1,200.53x = 1,158,065.62
5. Step 5: Solve for x
   x = 1,158,065.62/1,200.53
6. Step 6: Final answer
   x = 964.63