Finding the Fourth Proportional to 1,165.98, 1,747.86 and 549.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,165.98 : 1,747.86 = 549.27 : x
2. Step 2: Convert to fraction form
   1,165.98/1,747.86 = 549.27/x
3. Step 3: Cross multiply
   1,165.98x = 1,747.86 × 549.27
4. Step 4: Simplify right side
   1,165.98x = 960,047.06
5. Step 5: Solve for x
   x = 960,047.06/1,165.98
6. Step 6: Final answer
   x = 823.38