Finding the Fourth Proportional to 1,223.82, 1,836.12 and 402.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,223.82 : 1,836.12 = 402.69 : x
2. Step 2: Convert to fraction form
   1,223.82/1,836.12 = 402.69/x
3. Step 3: Cross multiply
   1,223.82x = 1,836.12 × 402.69
4. Step 4: Simplify right side
   1,223.82x = 739,387.16
5. Step 5: Solve for x
   x = 739,387.16/1,223.82
6. Step 6: Final answer
   x = 604.16