Finding the Fourth Proportional to 1,109.25, 1,664.02 and 378.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,109.25 : 1,664.02 = 378.63 : x
2. Step 2: Convert to fraction form
   1,109.25/1,664.02 = 378.63/x
3. Step 3: Cross multiply
   1,109.25x = 1,664.02 × 378.63
4. Step 4: Simplify right side
   1,109.25x = 630,047.89
5. Step 5: Solve for x
   x = 630,047.89/1,109.25
6. Step 6: Final answer
   x = 567.99