Finding the Fourth Proportional to 1,164.64, 1,607.33 and 667.33

Step by Step Solution

1. Step 1: Write the proportion equation
   1,164.64 : 1,607.33 = 667.33 : x
2. Step 2: Convert to fraction form
   1,164.64/1,607.33 = 667.33/x
3. Step 3: Cross multiply
   1,164.64x = 1,607.33 × 667.33
4. Step 4: Simplify right side
   1,164.64x = 1,072,619.53
5. Step 5: Solve for x
   x = 1,072,619.53/1,164.64
6. Step 6: Final answer
   x = 920.99