Finding the Fourth Proportional to 1,164.92, 1,607.61 and 667.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,164.92 : 1,607.61 = 667.71 : x
2. Step 2: Convert to fraction form
   1,164.92/1,607.61 = 667.71/x
3. Step 3: Cross multiply
   1,164.92x = 1,607.61 × 667.71
4. Step 4: Simplify right side
   1,164.92x = 1,073,417.27
5. Step 5: Solve for x
   x = 1,073,417.27/1,164.92
6. Step 6: Final answer
   x = 921.46