Finding the Fourth Proportional to 1,194.65, 1,648.54 and 663.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,194.65 : 1,648.54 = 663.50 : x
2. Step 2: Convert to fraction form
   1,194.65/1,648.54 = 663.50/x
3. Step 3: Cross multiply
   1,194.65x = 1,648.54 × 663.50
4. Step 4: Simplify right side
   1,194.65x = 1,093,796.39
5. Step 5: Solve for x
   x = 1,093,796.39/1,194.65
6. Step 6: Final answer
   x = 915.58