Finding the Fourth Proportional to 1,216.52, 1,823.61 and 394.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,216.52 : 1,823.61 = 394.24 : x
2. Step 2: Convert to fraction form
   1,216.52/1,823.61 = 394.24/x
3. Step 3: Cross multiply
   1,216.52x = 1,823.61 × 394.24
4. Step 4: Simplify right side
   1,216.52x = 718,935.45
5. Step 5: Solve for x
   x = 718,935.45/1,216.52
6. Step 6: Final answer
   x = 590.98