Finding the Fourth Proportional to 1,164.10, 1,744.52 and 644.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,164.10 : 1,744.52 = 644.34 : x
2. Step 2: Convert to fraction form
   1,164.10/1,744.52 = 644.34/x
3. Step 3: Cross multiply
   1,164.10x = 1,744.52 × 644.34
4. Step 4: Simplify right side
   1,164.10x = 1,124,064.02
5. Step 5: Solve for x
   x = 1,124,064.02/1,164.10
6. Step 6: Final answer
   x = 965.61