Finding the Fourth Proportional to 1,222.84, 1,833.60 and 442.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,222.84 : 1,833.60 = 442.72 : x
2. Step 2: Convert to fraction form
   1,222.84/1,833.60 = 442.72/x
3. Step 3: Cross multiply
   1,222.84x = 1,833.60 × 442.72
4. Step 4: Simplify right side
   1,222.84x = 811,771.39
5. Step 5: Solve for x
   x = 811,771.39/1,222.84
6. Step 6: Final answer
   x = 663.84