Finding the Fourth Proportional to 1,109.82, 1,663.71 and 378.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,109.82 : 1,663.71 = 378.89 : x
2. Step 2: Convert to fraction form
   1,109.82/1,663.71 = 378.89/x
3. Step 3: Cross multiply
   1,109.82x = 1,663.71 × 378.89
4. Step 4: Simplify right side
   1,109.82x = 630,354.76
5. Step 5: Solve for x
   x = 630,354.76/1,109.82
6. Step 6: Final answer
   x = 567.98