Finding the Fourth Proportional to 1,164.67, 1,607.27 and 640.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,164.67 : 1,607.27 = 640.71 : x
2. Step 2: Convert to fraction form
   1,164.67/1,607.27 = 640.71/x
3. Step 3: Cross multiply
   1,164.67x = 1,607.27 × 640.71
4. Step 4: Simplify right side
   1,164.67x = 1,029,793.96
5. Step 5: Solve for x
   x = 1,029,793.96/1,164.67
6. Step 6: Final answer
   x = 884.19