Finding the Fourth Proportional to 943.22, 1,406.83 and 820.52

Step by Step Solution

1. Step 1: Write the proportion equation
   943.22 : 1,406.83 = 820.52 : x
2. Step 2: Convert to fraction form
   943.22/1,406.83 = 820.52/x
3. Step 3: Cross multiply
   943.22x = 1,406.83 × 820.52
4. Step 4: Simplify right side
   943.22x = 1,154,332.15
5. Step 5: Solve for x
   x = 1,154,332.15/943.22
6. Step 6: Final answer
   x = 1,223.82