Finding the Fourth Proportional to 1,164.69, 1,607.27 and 640.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,164.69 : 1,607.27 = 640.72 : x
2. Step 2: Convert to fraction form
   1,164.69/1,607.27 = 640.72/x
3. Step 3: Cross multiply
   1,164.69x = 1,607.27 × 640.72
4. Step 4: Simplify right side
   1,164.69x = 1,029,816.96
5. Step 5: Solve for x
   x = 1,029,816.96/1,164.69
6. Step 6: Final answer
   x = 884.20