Finding the Fourth Proportional to 1,185.59, 1,777.34 and 491.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,185.59 : 1,777.34 = 491.83 : x
2. Step 2: Convert to fraction form
   1,185.59/1,777.34 = 491.83/x
3. Step 3: Cross multiply
   1,185.59x = 1,777.34 × 491.83
4. Step 4: Simplify right side
   1,185.59x = 874,145.92
5. Step 5: Solve for x
   x = 874,145.92/1,185.59
6. Step 6: Final answer
   x = 737.31