Finding the Fourth Proportional to 843.82, 1,164.17 and 666.83

Step by Step Solution

1. Step 1: Write the proportion equation
   843.82 : 1,164.17 = 666.83 : x
2. Step 2: Convert to fraction form
   843.82/1,164.17 = 666.83/x
3. Step 3: Cross multiply
   843.82x = 1,164.17 × 666.83
4. Step 4: Simplify right side
   843.82x = 776,308.06
5. Step 5: Solve for x
   x = 776,308.06/843.82
6. Step 6: Final answer
   x = 920.00