Finding the Fourth Proportional to 1,219.72, 1,829.50 and 397.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,219.72 : 1,829.50 = 397.98 : x
2. Step 2: Convert to fraction form
   1,219.72/1,829.50 = 397.98/x
3. Step 3: Cross multiply
   1,219.72x = 1,829.50 × 397.98
4. Step 4: Simplify right side
   1,219.72x = 728,093.27
5. Step 5: Solve for x
   x = 728,093.27/1,219.72
6. Step 6: Final answer
   x = 596.93