Finding the Fourth Proportional to 1,185.24, 1,776.52 and 492.36

Step by Step Solution

1. Step 1: Write the proportion equation
   1,185.24 : 1,776.52 = 492.36 : x
2. Step 2: Convert to fraction form
   1,185.24/1,776.52 = 492.36/x
3. Step 3: Cross multiply
   1,185.24x = 1,776.52 × 492.36
4. Step 4: Simplify right side
   1,185.24x = 874,687.39
5. Step 5: Solve for x
   x = 874,687.39/1,185.24
6. Step 6: Final answer
   x = 737.98