Finding the Fourth Proportional to 1,164.27, 1,606.57 and 666.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,164.27 : 1,606.57 = 666.78 : x
2. Step 2: Convert to fraction form
   1,164.27/1,606.57 = 666.78/x
3. Step 3: Cross multiply
   1,164.27x = 1,606.57 × 666.78
4. Step 4: Simplify right side
   1,164.27x = 1,071,221.05
5. Step 5: Solve for x
   x = 1,071,221.05/1,164.27
6. Step 6: Final answer
   x = 920.08