Finding the Fourth Proportional to 1,185.30, 1,776.66 and 404.58

Step by Step Solution

1. Step 1: Write the proportion equation
   1,185.30 : 1,776.66 = 404.58 : x
2. Step 2: Convert to fraction form
   1,185.30/1,776.66 = 404.58/x
3. Step 3: Cross multiply
   1,185.30x = 1,776.66 × 404.58
4. Step 4: Simplify right side
   1,185.30x = 718,801.10
5. Step 5: Solve for x
   x = 718,801.10/1,185.30
6. Step 6: Final answer
   x = 606.43