Finding the Fourth Proportional to 823.52, 1,233.69 and 735.89

Step by Step Solution

1. Step 1: Write the proportion equation
   823.52 : 1,233.69 = 735.89 : x
2. Step 2: Convert to fraction form
   823.52/1,233.69 = 735.89/x
3. Step 3: Cross multiply
   823.52x = 1,233.69 × 735.89
4. Step 4: Simplify right side
   823.52x = 907,856.45
5. Step 5: Solve for x
   x = 907,856.45/823.52
6. Step 6: Final answer
   x = 1,102.41