Finding the Fourth Proportional to 1,216.32, 1,823.55 and 394.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,216.32 : 1,823.55 = 394.10 : x
2. Step 2: Convert to fraction form
   1,216.32/1,823.55 = 394.10/x
3. Step 3: Cross multiply
   1,216.32x = 1,823.55 × 394.10
4. Step 4: Simplify right side
   1,216.32x = 718,651.94
5. Step 5: Solve for x
   x = 718,651.94/1,216.32
6. Step 6: Final answer
   x = 590.84