Finding the Fourth Proportional to 1,164.89, 1,607.57 and 640.92

Step by Step Solution

1. Step 1: Write the proportion equation
   1,164.89 : 1,607.57 = 640.92 : x
2. Step 2: Convert to fraction form
   1,164.89/1,607.57 = 640.92/x
3. Step 3: Cross multiply
   1,164.89x = 1,607.57 × 640.92
4. Step 4: Simplify right side
   1,164.89x = 1,030,323.76
5. Step 5: Solve for x
   x = 1,030,323.76/1,164.89
6. Step 6: Final answer
   x = 884.48