Finding the Fourth Proportional to 1,164.89, 1,747.58 and 343.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,164.89 : 1,747.58 = 343.10 : x
2. Step 2: Convert to fraction form
   1,164.89/1,747.58 = 343.10/x
3. Step 3: Cross multiply
   1,164.89x = 1,747.58 × 343.10
4. Step 4: Simplify right side
   1,164.89x = 599,597.35
5. Step 5: Solve for x
   x = 599,597.35/1,164.89
6. Step 6: Final answer
   x = 514.72