Finding the Fourth Proportional to 1,164.02, 1,606.32 and 640.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,164.02 : 1,606.32 = 640.05 : x
2. Step 2: Convert to fraction form
   1,164.02/1,606.32 = 640.05/x
3. Step 3: Cross multiply
   1,164.02x = 1,606.32 × 640.05
4. Step 4: Simplify right side
   1,164.02x = 1,028,126.72
5. Step 5: Solve for x
   x = 1,028,126.72/1,164.02
6. Step 6: Final answer
   x = 883.26