Finding the Fourth Proportional to 1,171.69, 1,617.16 and 752.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,171.69 : 1,617.16 = 752.57 : x
2. Step 2: Convert to fraction form
   1,171.69/1,617.16 = 752.57/x
3. Step 3: Cross multiply
   1,171.69x = 1,617.16 × 752.57
4. Step 4: Simplify right side
   1,171.69x = 1,217,022.34
5. Step 5: Solve for x
   x = 1,217,022.34/1,171.69
6. Step 6: Final answer
   x = 1,038.69