Finding the Fourth Proportional to 1,109.58, 1,663.46 and 646.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,109.58 : 1,663.46 = 646.22 : x
2. Step 2: Convert to fraction form
   1,109.58/1,663.46 = 646.22/x
3. Step 3: Cross multiply
   1,109.58x = 1,663.46 × 646.22
4. Step 4: Simplify right side
   1,109.58x = 1,074,949.57
5. Step 5: Solve for x
   x = 1,074,949.57/1,109.58
6. Step 6: Final answer
   x = 968.79