Finding the Fourth Proportional to 1,164.32, 1,606.74 and 640.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,164.32 : 1,606.74 = 640.34 : x
2. Step 2: Convert to fraction form
   1,164.32/1,606.74 = 640.34/x
3. Step 3: Cross multiply
   1,164.32x = 1,606.74 × 640.34
4. Step 4: Simplify right side
   1,164.32x = 1,028,859.89
5. Step 5: Solve for x
   x = 1,028,859.89/1,164.32
6. Step 6: Final answer
   x = 883.66