Finding the Fourth Proportional to 1,109.42, 1,663.89 and 378.60

Step by Step Solution

1. Step 1: Write the proportion equation
   1,109.42 : 1,663.89 = 378.60 : x
2. Step 2: Convert to fraction form
   1,109.42/1,663.89 = 378.60/x
3. Step 3: Cross multiply
   1,109.42x = 1,663.89 × 378.60
4. Step 4: Simplify right side
   1,109.42x = 629,948.75
5. Step 5: Solve for x
   x = 629,948.75/1,109.42
6. Step 6: Final answer
   x = 567.82