Finding the Fourth Proportional to 1,164.24, 1,606.75 and 667.01

Step by Step Solution

1. Step 1: Write the proportion equation
   1,164.24 : 1,606.75 = 667.01 : x
2. Step 2: Convert to fraction form
   1,164.24/1,606.75 = 667.01/x
3. Step 3: Cross multiply
   1,164.24x = 1,606.75 × 667.01
4. Step 4: Simplify right side
   1,164.24x = 1,071,708.62
5. Step 5: Solve for x
   x = 1,071,708.62/1,164.24
6. Step 6: Final answer
   x = 920.52