Finding the Fourth Proportional to 1,109.37, 1,663.52 and 378.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,109.37 : 1,663.52 = 378.82 : x
2. Step 2: Convert to fraction form
   1,109.37/1,663.52 = 378.82/x
3. Step 3: Cross multiply
   1,109.37x = 1,663.52 × 378.82
4. Step 4: Simplify right side
   1,109.37x = 630,168.59
5. Step 5: Solve for x
   x = 630,168.59/1,109.37
6. Step 6: Final answer
   x = 568.04