Finding the Fourth Proportional to 1,164.29, 1,606.71 and 640.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,164.29 : 1,606.71 = 640.31 : x
2. Step 2: Convert to fraction form
   1,164.29/1,606.71 = 640.31/x
3. Step 3: Cross multiply
   1,164.29x = 1,606.71 × 640.31
4. Step 4: Simplify right side
   1,164.29x = 1,028,796.50
5. Step 5: Solve for x
   x = 1,028,796.50/1,164.29
6. Step 6: Final answer
   x = 883.63