Finding the Fourth Proportional to 1,223.82, 1,833.57 and 646.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,223.82 : 1,833.57 = 646.02 : x
2. Step 2: Convert to fraction form
   1,223.82/1,833.57 = 646.02/x
3. Step 3: Cross multiply
   1,223.82x = 1,833.57 × 646.02
4. Step 4: Simplify right side
   1,223.82x = 1,184,522.89
5. Step 5: Solve for x
   x = 1,184,522.89/1,223.82
6. Step 6: Final answer
   x = 967.89