Finding the Fourth Proportional to 822.59, 1,234.34 and 670.41

Step by Step Solution

1. Step 1: Write the proportion equation
   822.59 : 1,234.34 = 670.41 : x
2. Step 2: Convert to fraction form
   822.59/1,234.34 = 670.41/x
3. Step 3: Cross multiply
   822.59x = 1,234.34 × 670.41
4. Step 4: Simplify right side
   822.59x = 827,513.04
5. Step 5: Solve for x
   x = 827,513.04/822.59
6. Step 6: Final answer
   x = 1,005.99