Finding the Fourth Proportional to 1,164, 1,734.56 and 1,132.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,164 : 1,734.56 = 1,132.32 : x
2. Step 2: Convert to fraction form
   1,164/1,734.56 = 1,132.32/x
3. Step 3: Cross multiply
   1,164x = 1,734.56 × 1,132.32
4. Step 4: Simplify right side
   1,164x = 1,964,076.98
5. Step 5: Solve for x
   x = 1,964,076.98/1,164
6. Step 6: Final answer
   x = 1,687.35