Finding the Fourth Proportional to 1,185.72, 1,777.82 and 492.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,185.72 : 1,777.82 = 492.86 : x
2. Step 2: Convert to fraction form
   1,185.72/1,777.82 = 492.86/x
3. Step 3: Cross multiply
   1,185.72x = 1,777.82 × 492.86
4. Step 4: Simplify right side
   1,185.72x = 876,218.35
5. Step 5: Solve for x
   x = 876,218.35/1,185.72
6. Step 6: Final answer
   x = 738.98