Finding the Fourth Proportional to 1,171.71, 1,760.12 and 865.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,171.71 : 1,760.12 = 865.53 : x
2. Step 2: Convert to fraction form
   1,171.71/1,760.12 = 865.53/x
3. Step 3: Cross multiply
   1,171.71x = 1,760.12 × 865.53
4. Step 4: Simplify right side
   1,171.71x = 1,523,427.86
5. Step 5: Solve for x
   x = 1,523,427.86/1,171.71
6. Step 6: Final answer
   x = 1,300.18