Finding the Fourth Proportional to 1,185.17, 1,777.83 and 491.90

Step by Step Solution

1. Step 1: Write the proportion equation
   1,185.17 : 1,777.83 = 491.90 : x
2. Step 2: Convert to fraction form
   1,185.17/1,777.83 = 491.90/x
3. Step 3: Cross multiply
   1,185.17x = 1,777.83 × 491.90
4. Step 4: Simplify right side
   1,185.17x = 874,505.69
5. Step 5: Solve for x
   x = 874,505.69/1,185.17
6. Step 6: Final answer
   x = 737.88