Finding the Fourth Proportional to 1,164.38, 1,746.77 and 872.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,164.38 : 1,746.77 = 872.37 : x
2. Step 2: Convert to fraction form
   1,164.38/1,746.77 = 872.37/x
3. Step 3: Cross multiply
   1,164.38x = 1,746.77 × 872.37
4. Step 4: Simplify right side
   1,164.38x = 1,523,825.38
5. Step 5: Solve for x
   x = 1,523,825.38/1,164.38
6. Step 6: Final answer
   x = 1,308.71