Finding the Fourth Proportional to 1,223.67, 1,835.78 and 401.91

Step by Step Solution

1. Step 1: Write the proportion equation
   1,223.67 : 1,835.78 = 401.91 : x
2. Step 2: Convert to fraction form
   1,223.67/1,835.78 = 401.91/x
3. Step 3: Cross multiply
   1,223.67x = 1,835.78 × 401.91
4. Step 4: Simplify right side
   1,223.67x = 737,822.03
5. Step 5: Solve for x
   x = 737,822.03/1,223.67
6. Step 6: Final answer
   x = 602.96