Finding the Fourth Proportional to 1,185.58, 1,777.60 and 492.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,185.58 : 1,777.60 = 492.72 : x
2. Step 2: Convert to fraction form
   1,185.58/1,777.60 = 492.72/x
3. Step 3: Cross multiply
   1,185.58x = 1,777.60 × 492.72
4. Step 4: Simplify right side
   1,185.58x = 875,863.02
5. Step 5: Solve for x
   x = 875,863.02/1,185.58
6. Step 6: Final answer
   x = 738.77