Finding the Fourth Proportional to 1,166.10, 1,748.69 and 516.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,166.10 : 1,748.69 = 516.38 : x
2. Step 2: Convert to fraction form
   1,166.10/1,748.69 = 516.38/x
3. Step 3: Cross multiply
   1,166.10x = 1,748.69 × 516.38
4. Step 4: Simplify right side
   1,166.10x = 902,979.15
5. Step 5: Solve for x
   x = 902,979.15/1,166.10
6. Step 6: Final answer
   x = 774.36