Finding the Fourth Proportional to 1,164.06, 1,606.38 and 640.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,164.06 : 1,606.38 = 640.10 : x
2. Step 2: Convert to fraction form
   1,164.06/1,606.38 = 640.10/x
3. Step 3: Cross multiply
   1,164.06x = 1,606.38 × 640.10
4. Step 4: Simplify right side
   1,164.06x = 1,028,235.81
5. Step 5: Solve for x
   x = 1,028,235.81/1,164.06
6. Step 6: Final answer
   x = 883.32