Finding the Fourth Proportional to 1,172.17, 1,754.61 and 864.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,172.17 : 1,754.61 = 864.37 : x
2. Step 2: Convert to fraction form
   1,172.17/1,754.61 = 864.37/x
3. Step 3: Cross multiply
   1,172.17x = 1,754.61 × 864.37
4. Step 4: Simplify right side
   1,172.17x = 1,516,632.25
5. Step 5: Solve for x
   x = 1,516,632.25/1,172.17
6. Step 6: Final answer
   x = 1,293.87