Finding the Fourth Proportional to 1,164.08, 1,606.56 and 640.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,164.08 : 1,606.56 = 640.10 : x
2. Step 2: Convert to fraction form
   1,164.08/1,606.56 = 640.10/x
3. Step 3: Cross multiply
   1,164.08x = 1,606.56 × 640.10
4. Step 4: Simplify right side
   1,164.08x = 1,028,359.06
5. Step 5: Solve for x
   x = 1,028,359.06/1,164.08
6. Step 6: Final answer
   x = 883.41