Finding the Fourth Proportional to 1,132.84, 1,697.83 and 646.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,132.84 : 1,697.83 = 646.16 : x
2. Step 2: Convert to fraction form
   1,132.84/1,697.83 = 646.16/x
3. Step 3: Cross multiply
   1,132.84x = 1,697.83 × 646.16
4. Step 4: Simplify right side
   1,132.84x = 1,097,069.83
5. Step 5: Solve for x
   x = 1,097,069.83/1,132.84
6. Step 6: Final answer
   x = 968.42