Finding the Fourth Proportional to 1,164.69, 1,606.83 and 667.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,164.69 : 1,606.83 = 667.15 : x
2. Step 2: Convert to fraction form
   1,164.69/1,606.83 = 667.15/x
3. Step 3: Cross multiply
   1,164.69x = 1,606.83 × 667.15
4. Step 4: Simplify right side
   1,164.69x = 1,071,988.60
5. Step 5: Solve for x
   x = 1,071,988.60/1,164.69
6. Step 6: Final answer
   x = 920.41