Finding the Fourth Proportional to 1,132.42, 1,697.56 and 401.60

Step by Step Solution

1. Step 1: Write the proportion equation
   1,132.42 : 1,697.56 = 401.60 : x
2. Step 2: Convert to fraction form
   1,132.42/1,697.56 = 401.60/x
3. Step 3: Cross multiply
   1,132.42x = 1,697.56 × 401.60
4. Step 4: Simplify right side
   1,132.42x = 681,740.10
5. Step 5: Solve for x
   x = 681,740.10/1,132.42
6. Step 6: Final answer
   x = 602.02