Finding the Fourth Proportional to 1,171.72, 1,758.06 and 513.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,171.72 : 1,758.06 = 513.25 : x
2. Step 2: Convert to fraction form
   1,171.72/1,758.06 = 513.25/x
3. Step 3: Cross multiply
   1,171.72x = 1,758.06 × 513.25
4. Step 4: Simplify right side
   1,171.72x = 902,331.23
5. Step 5: Solve for x
   x = 902,331.23/1,171.72
6. Step 6: Final answer
   x = 770.09